{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "aa6acb67-3dbe-4455-9463-1efdc71a4d8e",
   "metadata": {},
   "source": [
    "Chapter 20\n",
    "\n",
    "# 沃罗诺伊图\n",
    "Book_7《机器学习》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2ff1872d-fca2-4a60-b25c-5bafed707216",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib as mpl\n",
    "import matplotlib.cm as cm\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.spatial import Voronoi, voronoi_plot_2d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fc884a46-f8d2-44a4-8f14-e6cf760d093c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate data/speed values\n",
    "points = np.random.uniform(size=[30, 2])\n",
    "points = np.append(points, [[999,999], [-999,999], [999,-999], [-999,-999]], axis = 0)\n",
    "speed = np.random.uniform(low=0.0, high=5.0, size=50)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3cfa0b25-f3cd-4746-9029-743fa8a99152",
   "metadata": {},
   "outputs": [],
   "source": [
    "# generate Voronoi tessellation\n",
    "vor = Voronoi(points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "66e511b7-bd91-4920-8c1c-4c1442312ff9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# find min/max values for normalization\n",
    "minima = min(speed)\n",
    "maxima = max(speed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "9112aded-d905-4ac4-a58e-3345d39eaf98",
   "metadata": {},
   "outputs": [],
   "source": [
    "# normalize chosen colormap\n",
    "norm = mpl.colors.Normalize(vmin=minima, vmax=maxima, clip=True)\n",
    "mapper = cm.ScalarMappable(norm=norm, cmap=cm.viridis)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9e86f77d-d49a-433a-a222-bd3ef75d7bda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CIhg3cS0lik1n/bxLWBXIw4hV67IcXgD5C3vg3aApASd2ce/B3awXmwVhiV/e3DUsUTcW5AJcu3KSty9fMKBfBaFL+SIbSzP27OpPhYoOLBs3g8uHVwldkkgFlMoUti6dwNaZS6jSxINV20eq9QBKVRMDTMVkchlValdn6vJxbLs+h95T6hMdByN6H6Swx2S69PiLQyevkJKivl3og0PDGTt+DSWKTWf5wltUa1kUm3xOmDs5Ilfh0d4t+/fEyNKGNUv+QKnG7+d7rBRf3tzVSqFdQ7jfcnDP37i42tC6uY/QpXyVqbERWzf2pWGTPKyZtoQT22YLXZIoC+LjY1g2uS8n/z5Il+GVmbmwLwYGujXsLgaYGplbWtKqSxuW7JvBqrMTaNitNBfPvaV94414e09m9IQN3Hn4TGXtvQsOZcyvqyjhNZ0Vi29Ts3Uxlp2dRa9Jo5AZGaBU8dEyhkaGNBgwgODn99m1e6tK750RZnJ96rkZfba5az03I50ZPnz08AaP792mR4+yKt+0V9Xkchmrlv5Ct58Ls23hFvxWjteZradE/wgLecW8oV14cOk24xa3YvDwdho5gFLVst+qXC2VJ38++ozuRY/hSgIuXOTAppOsXXKLpbOvUtjXhuZtitC2RQVsLM0zfO+370KYO28v61bcIy0N6nb0oXnvjljbOX58j1QuUXmAAZSpUZlLeytwdOcKKlSshp2tncrb+BE+NgrymckIS1RipZDoTHgB+O1Yg4WVKT2768bhklKJlFm/d8Laehu/TztEbGQkzfr9gSQL64REmvM08ArLx44mTZnMwq29KV1Gs2d4qZLu/JRnE1KphNIVyjFu3ii235jPkHktkRobMmnESbwKTqF1h/ns2HeOpKTk797rzdtgRoxeQUnvP1i38h71firOiguz+GX88M/CC0Aqk6JM/v49M6PtyCGk6cGqpbPUcv8fZSbXJ7epTKfC693b59y6eomOHUtgaCATupwfJtGXMHZUK6b9UZUz+y6ybkovkpPihS5L9B1Xzu9l/qBBmFlIWXtgmE6HF4g9MEEZmxjTqFVjGrVqzJtXr/DbcpBjW6/wS/sdWNj4Ua9Zftq3LUspn4KfXffq9Tvm/LmXjasfIJHq07BbKZr16ICF9dd7P1K5FGWMegLM1sGOih27cmzJPM6eO0n5cpXV0k52tG/nauRyKYMH6OafWd9f6mNlaUyfXn7E/9qdzmMXYmCc8VEEkfod2r6QvYvW41PRlT9X9MPCXPf3uRQDTEs4OjvTbWBXOvfrzJ0bN/DbdIy9W++wYclt8hayoGmrQtSo4snGDWfYtOYhErk+jX8pRbOfO2Ju/f3NNaVyKakpCWqrv17Hltw4coita/6kuE8pDA0N1dZWdhETFU7A2eM0a14MW2vd3TC6XcsqWFgY07nTVhaN6EL3yQswtXD8/oUijVCmJPH3wrFc2HWKhp19mDC1OzJZ9vjVrztjLTmERKJPUR9vRkwbzLZrCxi7ohM2btbMmXKR9u3Ws33TY5r1KsPKC/PoMnLwD4UXgFQuU9sQYnrdElqOHEZsRAjr1v6ltnaykwN716FMSWbUcN1fGFyvZkl27OhE2NswFgz5mfCgx0KXJCL9AMqFv/bg0t7T9JlQmykzemab8AIxwLSaXKGgev1a/LF6AjU6Fic2MpkFx/+g0/CBmFlaZ+heUpmEVDVPdXcvUgiveo3xP76DBw/vqbUtXZeUlMDZY/upVrMQ+fJkj93ey5cpjJ9fd5SJ8cwd1JN3z28KXVKO9u7NI+YM6szz24+ZuqIjPfs0E7oklRMDTAckJSZyfs8dyjbzwc4xc3vkSeVSUtUwC/HfWvXviaGFFauX/EGqeML1Vx0/tJWYqEhGDqsqdCkq5eWZl0MHe2FmrMfcQQN4du+c0CXlSA/vnOPP/j1JSYhj6e7+1KtfXuiS1EIMMB1w+OApooLjqN++TqbvIZPLNLLY2MjEmPr9BxD07B679gi3NkybpSqVnDi4E9+SeShdIrfQ5ahcXjcnDh3oR243IxYMG8X9gP1Cl5SjXDi+mUVDR2LvYsy6gyPwLqYdpyergxhgOsBv3UncvOwpUswr0/dI74Gp7xnYp8rWrELukuU5smMFISHBGmlTl1y6cIiQd28YPFA3Zx7+CAc7K/z29MfHx4rFY37j6sm/hS4p20s/gHIG6yfPoWTV3KzdMwpnR2HWZWqKGGBa7tmzF9w+9ZTqbbO2R55MLlPLQuavaTdyCGmkskLgtWHa6PDeTeQt4ECDup5Cl6JWFuYm7NzWnxq1XFg1eR7n9i0RuqRsKykpgTUzhnBw+XZa9y7DgtWDMn16si4RA0zLbV/rh9xQRp1mWTuXRyaXkpqiuWdSto72VOjQhYdXT3Hu/GmNtavt7t66xPNHD+nTq7zWbxulCkaGCjau7k3rtgXYOGsVRzZOF7qkbCcqMpj5I7tx7ag/w2Y04n8Tu2Tp9GRdkv1/gnRYclIyJzZfoVSjopiaZm3RoUxDkzg+Va9jK6zzuLN19RziE9S3Bk2X7N+1Dlt7C7p0LCV0KRojk0lZPL8bfQd4s2vZLnYtHiXun6gir5/fZc6ALgQ9fc3sjd3o1Lm+0CVplBhgKhAWrced51LCov+9J3rWHD10ioh3sTTokPnJGx/IFTJSU1JITdXcacVSqZSWI4YRExHMenFtGC9fPOTejSt06VIKuVz3Nk7NCom+hGkTOzB2QnmObDnJppkDSElJFLosnXb76jH+HNgHib6SlfsGUrVqCaFL0ric0c9Uo5M35aw4Ykhamh56eml0rRFP5aJJKrm33/qT5Cpsh1dx7yzfSyaXQVoaKcoU5PoZP4U5swp6eVK0TiMuH9xOlWr1yJ9Pe04a1rR9O9ZgZGzAgN4VhS5FMMMHNsXaypjBgw4TF92TjqPnIzcQ/kRvXXPqwGq2z1lKQW975q8dgK2NpdAlCULsgWVBWLTex/ACSEvTY+URQ5X0xF48f8WNE0+o1lY16zdk8vSNYpMEGMprPbAXBuaWrP7r9xy7Niwi7B3XLp6mVZvimJvn7G22unWqxYpVTbgbEMiS0V2JjQ4RuiSdkZqqZNuyiWz54y8qNyzI6h2jcmx4gRhgWfI2XPIxvD5ITdPjXUTWh4d2bPBDZiChXvO6Wb4XgFyR3tlOSlZN7zAjjEyMqddvAG+f3mHPvu0ab18b7Nu1Fj3SGDE4ey1czqzmDcuzeXNbXj95y6Jh3YgMfSl0SVovISH9AMoTGw/w09BKzFrcT+cOoFQ1McCywMFSiZ7e54fZ6+ulYW+RtV5GcnIKx/4OoGT9IpiZW2TpXh/IFe97YEmaDzCA8rWr4uZblkPblhGaw9aGJcTHcPHUIerUK4yLs4XQ5WiN6pW92b2rM7HhUcwf/DPBrx4IXZLWCgt5xdxhXbl34RZjF7Zk6Mj2OnkApaqJAZYFVqbpz7z034eYvl4aXWrEY2Wa9p0rv+3E0dOEv4mhfsfaqigTSD9JFyAlUbgH521HDiUtLZUVy+YIVoMQDu/fREJcHCOzwaa9qlayeEH2H+iBTD+FeYN78+rRFaFL0jpPH11lzoDuRL4LZf6WnrRsVUPokrSGGGBZVLloErO6RzGqZQyzukepZALH3nUncPawwcvHO+sFvvehB5aYJFyA2Ts7UL79Tzy4coILF88KVocmKVOSOXV4N2UrFKBYEWehy9FKhQq4cvBAH+xsZMwfMphHN48LXZLWuHrBjwWDBmFiqs/aA8MoVy7zu/FkR2KAqYCVaRqFcqVkuecF8PrVG24ce0y1tuWRSFQ3RPAhwFKShZ26XP+nNljnzs/mVbNzxNqwMyf3EBEawrDB2XfbKFVwdbbj4P7+FPQwY9HIsdy+sEvokgR3eMciVo39jUK+DqzfP5q8ecQPQP8mBpiW2b7eD4lMQr2Wql2QqFCkT51PShTmGdgHUqmUFsOHERMexIb1SwWtRd1SlUqO+m2lUBEXalYr+P0LcjgbK3P27upPufL2LB37O/5HVgtdkiCUKUlsmD+a3fPXUrd9MZb9PRxLCzOhy9JKYoBpkZQUJcf+9qdEfU8sLCxUem+FQXqApQg0ieNTHt5FKFK7IZeObCXw0UOhy1Gbm9fP8ObFM/r3zdo+ljmJqbERWzb2pUHj3KyZ9hendswVuiSNiouNYNG4nlzYdZJe42oxbVavj8+vRf8lBpgWOXX8LKGvoqnXvpbK7634MAsxRTM70n9P64G9MDCzyNbnhh3YtREnFxvatvQRuhSdYqCQs3pZDzp39WTL/L/Zv2pCjth6KvjtE+YM6sKzm4+YuqI9vfs1F7okrScGmBbZs/Y4ju7W+JT0Vfm9P85C1IIeGICxqQl1+/Tj7ZPb7PXbIXQ5Kvfk0S0C796kxy9lkErF6c4ZJZVImTPjJ4YOL4nf2oNsnz8cpVKze3lqUuDd88zu/wtJcTEs3dWX+g1y7m4tGSEGmJZ4+/Yd144GUq1tOZVO3vjA4P0QYrKWBBhAhXo1cC1eJn1tWHio0OWo1N4dazC3MKHXL+WELkVnSfQljB/Tmmm/V+H0nvOsn9qb5KR4octSuYsnt7Jo6AjsnIxYd3Ak3t4eQpekM8QA0xI7NvghkehTX8WTNz74MISoLT2wD9qOHIpSmcLKJbOFLkVlgt+95HbABdp3KIGRoeb2ncyu+vZowKLF9bl25g4rxv5MQmyk0CWpRGqqkn0bZ7F+0ix8q7ixbu9oXJyy9wGUqiYGmBZISVFyZONlfOoUwtLKSi1tfJiFmPzJVlLR8am8CE4mOl5zO9T/m4OLI+XadeJ+wHEuXj4vWB2qtG/naqQyCcMGVRG6lGyjfeuqrFvfgse3n7F4VDdiIoKELilLkpMTWTNzKAeWbaVFz9IsXD04RxxAqWribvRa4MzJ84Q8j6LfLNVN3giP1iMoQg87izQsTdP+6YG9PxPs1rNEjl6LIw3QA6p7G1HETZh91Rp2aceto0fYvHIW3sXWoZBr//5uKSkpxMXEEhcXR1xsDHHxccTHxhIdEcql00dp2swLWxsTocvMVurXLsX27Ua0brOB+UO70mPKXCzt8gpdVoZFRQazfNIgnt18ypA/GtG5S846w0uVxADTAnvWHcM+nyW+pUuq5H5nb0lYd0z+8YiXDtWSKF8E9KUSUpISiY5P/RheAGnA0etxuNnJMDXUfKdcKpXScuQwlvTpzfp1S+nata/K7p2UmERsTAxxsbHExaUHTkJsLPEJ8STEx5KQEE9iQgIJCXEkJSaQmBBPUlICSUkJJCclkpyYQHJyIinJH/43/Uup/PpsTiMjM+rXFNd9qUOFskXw8+tOs2YrmTe4Fz2mzMDetajQZf2w1y/usmzscOIiopm1oSvVqqnmZz6nEgNMYO+Cgrl6OJCWw+uoZPJGeLTex/CC9CNe1h+T4+mWgL5MSkpyMhExSv69Z0haGkTEKgUJMAAP76IUrt2AC4e3kDd3QcxMzEiIiyc+Pu59yMSRkJBA4oegSYwnOSmRpMR4kpLTgyYlOfGfkElJ/98fmX6try9FJlMglcqRSRVIpQpk7/+/scwIhZEVMpkCA7kBcpkBBnIFCoUBhgZGGCgMMFQYpn8ZGqKQypj+1zD27b5N8xbi9Hl1KFY4L4cO9qJJ0yXMGzyAX377DdeCZYUu67vuXD/OmgmTMbWQsWLfIDwL6V7vUduIASawnRv2A9CgjWqGEYIi9L54xEtQpB4SmYSUpGQsTCTowWchpqcHFsbCTvdu3rs7gadPsX7x+C/+e6lUjvTTgJEpkEnkyGQGGBlYIDdToJAZpH8pDFDIDTCQG2BoYICBwhADA0OMFYYYGhphbGiMkaEBJobGyGSqXSha3KMEfof9iYtLxMhI+4dDAd5GSXkWJsfNKgkHM+2frp4vtxOHDvSjaYvFLBg2km4TRuPuo7rNr1Xt9ME1bJu9BPdi9sxb0x97O/U8685pxAATkFKZypG/L+FTxwNra1uV3NPOIg09vbTPQkxfLw0787SPPTBTQ32qextx9HocaWnp4VW9mJFgva8PjqzaTEJsBI1rdscjjwdGBoYYGRphbGSMoUKBVKobf11rlG/A2Rtn2LDmEt17av96nm3XzBm/34HUND309dIYX/ctzb21f6afo701+/f0p1W7xSwePYmfRkVSrFIrocv6TGqqkp2rpnJ8vR9Vm3jw+/zeOf4ML1USZyEK6PyZiwQ9iaBeh5oqu6elafozr0+PeGlfLQlL0zQkMinK5PRnN0XcFHStaU7z8iZ0rWku2ASOD94+e8nF3VsoVrAiLWo3pYh7IfK65sbB1g5TY2OdCS+A/PmK4mzjxNr1V4Uu5bveRkk/hhek99bH73fgbZRu/HlbWpiya1t/qlV3ZsWkPznvt0Tokj5KTIhl2W/9OL7ej05DKjF7SX8xvFRMN/6WZlO71x3DLrcFpcqVUel9yxdR4umWQFCkHnbm6bMQASTve2AfmBrqC97r+mDzbzOR6Evp2qqH0KWoRDnvSmw9uonAB+/I724vdDlf9SxM/jG8PkhN0+N5uFwnhhIBjAwV/L22D736L2fDzFXERUVQvc1wQWuKCHvN0nEDefPoDf+b34LWbVT3IVX0D+347ZUDhYSE4r//PlXalFHLzhuWpmkUdEn9GF4A0k96YNrk0v7jPLl1ibqV2mBlbil0OSpRtXxDpBIJixacEbqUb3Kz+qe3/oG+Xhqultq14P17ZDIpfy3oTu9+xdi5dCe7l4wRbP/EZ4+uM6t/NyLehTJvSw8xvNRIDDCB7NjoB0D9tg001qa+TPJZD0wbJCUksm/+POytc9O4RiOhy1EZU1MLiuQpyvbdt0hJ0d6ejINZCuPrvv1syHl83bc60/v6lERfwu+TO/LruHIc3nScTbMGkpKi2fPvrl3az/zBAzA21mfN/iGUL1dMo+3nNOIQogCUylSObLxEsRru2NlqbusYqVz7emC75i4jOjyIHt2n6dRzrh9RtWwdZq2Zyp6dN2jaorjQ5XxVc+9IyueN5Xm4HFdL3ZiF+C0jBjfDysqYoYOPEBfdk46j5iM3MFZ7u0d2/sWehWvwKuvC3FX9xTO8NEDsgQng4nl/3j4Kp26H6hptVyqTokzSngB7/eg5l/ZupVihSnh5FBG6HJXzKlwWK1NLVqy4LHQp3+VglkIptzidD68Pfu5cm+UrGnP38kOWjulGXEyY2tpSpiSxceEYds1bTZ22XizfPEIMLw0RA0wAu9cexcbVnDIVy2u0XYlcijJZe35BbZk2E6lETtcWPwtdilpIJBJKFy3HmYuPCXoXJXQ5OU6LJhX4e1MbXj56zcJhXYkMfanyNuJiI1k8vhfnd5yg59iaTJ/TWzyAUoPEANOw0LAw/Pffo0qb0hofMpPKpaRqyfOYi/uO8fS2P/UqtcEym0zc+JIaFRuTokxlyaKzQpeSI9WsWpzduzoTExbJgiG/EPL6gcruHfzuKXMGd+bJ9YdMWd6ePv1bqOzeoh8jBpiG7fr7AEplGg3aaG7yxgdSmUQrnoElxiewb8E8HGzy0CgbTdz4EjtbZ9xdCrB563WhS8mxSvl6sN+vBxKSmDe4D68eZ3193qN7F5nT/xcSY2JYuqsfDRpq/4L17EgMMA1SKlM5vPECXtXzY+/goPH2pTLt6IHt/HMpMZEhdGrWSy1LCLRNpZI1ePwihDMnHgpdSo7lWdCVgwf6YmMlZf6QwTy+dSLT97p0ajsLhwzDxsGQ9QdH4OMjHkApFDHANMj/0hVePwijbnvNTt74QBtmIb569IzLftvwKVSZou6FBa1FU0qXqIGxgRF/LTkndCk5mpuLHYcO9Mfd3YRFI8dy5+KeDF2fmqpk39+zWTdxBj6VXNMPoHTW3kXqOUGmAmzhwoXkyZMHAwMDfH19OX369Dffv379eooVK4aRkRGOjo506dKF0NDsdYT8j9i19ghWzqaUqyLMcINULiVV4EkcW6bMQC4xoEs2nbjxJQq5Al+Pkhw8+oCY6AShy8nRbKzM2burP6XL2LJ07HQCjqz9oeuSkxNZO2sYB5ZuodkvJVm8dgimJuIBlELLcIBt2rSJgQMHMmbMGK5evUrFihWpW7cuz58//+L7z5w5Q6dOnejWrRu3b99my5YtXL58me7du2e5eF0SHhHBpX33qNy6lGDrnWRyGUoBhxDP7znMs7tXqF+lLRZm5oLVIYTqFRoQl5DI2lUXhS4lxzMzMWbbpn7Ua+DK6mmLOLVz3jffHx0VyoJR3bhy6CKDf2/A+N+6I5VkrzWLuirDATZr1iy6detG9+7dKVSoEHPmzCFXrlwsWrToi++/cOECuXPnpn///uTJk4cKFSrQo0cP/P39s1y8Ltm9+SDKZCUNNbjzxr9J5TLBemAJcfHsX7QAR9u8NKgm3J+BUPLm9iSXXS7WbdD+DX5zAgOFnDUrevJTF0+2zNvIgdWTvrj11OuX95k9oDNvH71k5voudOnaUIBqRV+ToQBLSkoiICCAWrVqffZ6rVq1OHfuy+P75cqV4+XLl/j5+ZGWlsa7d+/YunUr9et//fyrxMREoqKiPvvSZUplKgfXnaNo1fw4OjsLVodMIdwkjp1zlhATGUrnZn1yxMSNLynvU5kbd15y9/ZroUsRAVKJlD9n/sSQ4SXZt2Y/OxaMQKn85+fjzvWTzO3fG720JJbvHUiNGqUFrFb0JRkKsJCQEJRKJfb2nz+4tLe35+3bt1+8ply5cqxfv57WrVsjl8txcHDAwsKCefO+3m2fOnUq5ubmH79y5cqVkTK1ztWA67y6H0rt9tUErUMmkwiykPnlgyf4799Bcc+qeBbIuTO2Kperj0wq0/oNfnMSib6ECWNa89u0ypzcdY4N0/uSkpzAmUPrWDryf+TKb86GA6Mo7JlP6FJFX5CpSRx6ep8fv5CWlvaf1z64c+cO/fv3Z+zYsQQEBHDgwAGePHlCz549v3r/UaNGERkZ+fHrxYsXmSlTa+xaexhLJ1MqVKssaB0yuYxUAWYhbpk6A7nMkC4tctZzz38zMTajaL5i7Np3h2Qt2hFFBAN6NWThonpcOXmT6b80Y9P0hVSom581O0dhb28tdHmir8hQgNnY2CCRSP7T2woKCvpPr+yDqVOnUr58eYYNG4aXlxe1a9dm4cKFrFixgjdv3nzxGoVCgZmZ2WdfuioyMooLe+9QqVUJZDJhH/zKFDKNDyGe3XmA5/ev0aBqO8xNdfe/o6pULVeH0IgYdm69JnQpon/p2LYaYydWICU5nha/eDNn6QAMDQ2ELkv0DRkKMLlcjq+vL4cPH/7s9cOHD1OuXLkvXhMXF4e+/ufNfHgGkpaW9qVLspXdWw6QnKCkYTvhH/7K5FLSlKkolZo5Jyk+No4DixfhZJef+lXqaaRNbVfEoxQ25tasXKX9G/zmRA8fvSM1BUZN6I5EP2c+q9UlGR5CHDx4MMuWLWPFihXcvXuXQYMG8fz5849DgqNGjaJTp04f39+wYUO2b9/OokWLePz4MWfPnqV///6UKlUKJycn1X0nWurghvMUrpwXZxcXoUtBrpADkJysmcMKd87+i9joMDo3751jJ278m0QioYxXec5efsLrl+FClyP6RHx8Aru2PaFOcw/kMnFDXl2Q4QBr3bo1c+bMYeLEiXh7e3Pq1Cn8/Pxwc3MD4M2bN5+tCevcuTOzZs1i/vz5FClShJYtW1KwYEG2b9+uuu9CS10JuMaL28HUbldV6FIAkCvSfygTE9W/mPbFg8cEHNxJicLVKZSvoNrb0yU1KjYhLRWWLBY3+NUmu/afJSoimaZttePnVfR9mXoo07t3b3r37v3Ff7dq1ar/vNavXz/69euXmaZ02q61RzC3N6ZyTe34gZDJ0/9zJyep/5TaLVNmoJAZ0blFN7W3pWusrezxcC3I5m03+HVCXbF3qiXWbbiGRzFLPAoXEroU0Q8S90JUk+joaM7vuk3FliWQacn5QB/OKUpMUu8Q4ult+3nx4DoNq3XAzMRUrW3pqkqlavL8dRinjosb/GqDV2+DOH3sLQ1a+whdiigDxABTk91bD5IUn0zD9l9fsK1psvdDiMmJ6uuBxcfEcXDpIpztC1C3ch21taPrShWvhqmhCUuXnBe6FBGw9u+T6Ev0aNhCmI22RZkjBpiaHNpwnkIV8+DqllvoUj5SfAgwNU7i2D5rEfHREeLEje+QyWSU8CzF4RMPiYqMF7qcHE2pVPL3xjtUqJULKysbocsRZYAYYGpw/dotnt54R6322vHs64MPAZakpiHEZ3cfceXQbkoUqY5HXne1tJGd1KjUiPjEJFYtF3thQrp87S6B96Jp3KaM0KWIMkgMMDXYufYQZrZGVK2lXQEmN0ifRp+ipgDbMvUPDBXG4sSNH+TqXIDcDm6s33hN6FJytNXrz2Flq6BidfFUZV0jBpiKxcTEcG7nLSq08EWuUAhdzmcU7ydxqGMW4qmt+3gVeJNG1Ttiamyi8vtnVKQyjcdJaUQqtXuxfIXiVbj94DU3run2dmm6Slz7pdvEAFOxfdsPkxCTRMP22ndkyMeFzCrugcVFx3Jo6WJcHApSu2Kt71+gZv7xacwIgxWRMCMs/Z+1VaWy9VDIFPy1UFwTJgRx7ZduEwNMxQ5sOItHhdzkzptH6FL+w+D9M7AUFW/ou23mQuJjI+miBRM3IpVp7IqBD5GVBuyKQWt7YoaGJhTLX4zd+++SlCRu8Ktp4tov3SYGmArdunmHx1ffUqudsLvOf43i/TMwVU7ieHrnIdeO7KVU0Zq458mvsvtmVqjyn/D6IO3969qqWvl6hEfFsvXvAKFLyVHEtV+6TwwwFdq59hAm1oZUq1ND6FK+yPDDJA4VTaNXKpXvJ26Y8FOzriq5Z1ZZS+DfB/vovX9dW3kUKI69pR2rVuesU8qFJq790n1igKlIbGwcZ3bcoELz4igMtGvyxgcfnoGlJKlmCPH0Vj9eP7pNk5qdMDE2Vsk9s8pcokdjk39CTA9obJL+uraSSCSULVaBC1ee8fxZqNDl5Aji2q/sQQwwFfHbdZj4qCQadNCenTf+TS6Toqevp5Jp9LFRMRxe/he5HD2oWV67epwlDPUYagVdzWGoVfo/a7tqFRqhhx5LFomTOTRBXPuVPYgBpiIH1p/FvYwr+fIL/xzoW/SlUpVM4tg2YwEJcdF0a9lH8IkbX2Iu0SOvXE+re16fsrSwpZBbIbZsv6mx89pyMnHtV/agUwGm1NKZZHfv3ifQ/zU121cSupTv0pdlPcAe37zH9WP7KFOsFvlc86qoMlHl0jV59S6cowfvCl1Ktiau/co+dCrAOlUaypRhC7h4+ipKZarQ5Xy0Y81BjC0NqFGvptClfJdEJkWZhQBTKpVsnTYDIwMzOjXtrLrCRJTwroK5sRlLl10UupRsTVz7lX1k6jwwoeTJ78mZXdc5uOY8FnamlKzlSfVG5ShZ3hupVJhhrPi4eE5vv06F5sUxMDQUpIaMkMikWZqFeGrzXt48uUvHxoMwNtKOiRvZhVQqpaRnaY6dPkFYaCxW1uKfrzqIa7+yD50KsO4dxiOTy7l+9zSX/I9wbs9VDq+7iLmtCSVqeFKtUTnKVPLRaJj57T5CXESiVk/e+JRELsn0LMTYyCiOrFyCm5MntSpq18SN7KJmpUYcvXyYVcvOMXiE9vfodc2HtV+DJom9r+xApwIMQCqR4VukGr5FqpHSMZkb985yOeAolw4EcHTjJcysjfGt4Um1hmUoW6UEMpl6w+zAhrPkL+VCgYK6sfu6JAuTOLb+sYCEuBi6du2j4qpEHzg55iWvU142bLouBpgaiGu/shedC7BPSSUyiheuQvHCVUhpn8KtB+e5HHCEgMP+HN90GVMrI3yrF6JKgzJUqFYSmVy13+79+4E8uPiSXrPbqfS+6iSRZ+4Z2KNrd7hxYj9lveuQ1zW36gsTfVTBtyqr9ywn4PIzfEu6CV1OtiGu/cp+dDrAPiWVSPEuVBHvQhVJaZvCnYcXuRRwmKvH/TmxJQBjC0OKV/OgasOyVKpRSiVhtmPtfozMFdRsKPwGtj9KIpOgTMnYnntKpZKtv8/E2MCcjk1+UlNlog/Kl67DpoPr+WvRWZaIAaYyH9Z+9f1fPaFLEalItgmwT0klUrw8yuPlUR5lWyV3Ay9xMeAwN0/7c3r7VYzMV1C8mgdVGpSmUo1Smdo5Iz4+gdNbr1O2qTeGRkZq+C7UQyqXoszgM7ATG3fx9uk9OjUdLE7c0ABDAyN83H3Ye/Aa8fFJGBrKhS4pWxDXfmU/2TLAPiXRl1DEvSxF3MuibK3k/uMALvof4ua5y5zZcQ1D01X4VC1IlQalqVyrDAaGPxZmB/cdIyY8gYYddOvTnFQmRZn84z2wmIhIjq5eRm7nItQsLz430JTq5Rtw/tZ5Nq33p3P3ckKXo/M+rP1q0MZTXPuVjWT7APuURF+CZ/5SeOYvhbKVksCn17jgf5Cbly9zbvdSZhmvxrtKQSo3KEXVOmUxNDL46r32rz9NXl9nCnrq1lRciVxKcsKP98C2/D6fpPhYuv3cW41Vif6tYAFvHK0dWLsuQAwwFRDXfmVPOSrAPiXRl1Awry8F8/qibKHk0fMb6WF25RIX9i3nT+O1eFUqQOUGpaletyyGxv+s8Qp8+Jh7517wy4zWAn4HmSOVSVBG/1iAPbx2h5snD1CheANyu4jPYjStXLGK7Di+lSePgsmTz1bocnSauPYre8qxAfYpib4E99w+uOf2gRYQ+OwGF/wPcOPqJS7tX8GfhmspVqkAFeuXpEb9CmxfewBDMzm1G9cVuvQMk8qlpKYkfPd9SqWS7dNnYGJkScemnTRQmejfqlVoxK6T21m88AzTZzYVuhydJa79+r6QaH1eh0txskzBxlR7djn6HjHAviC/mxf53bygOTx+fpsLAfu5ceUisw6uZv7wDaCfinfNQhgZ687kjQ+kctkPzUI8vmEnb5/dp0uLoRgaaP8OI9mRmZkVnrmLsG3nLab83kgrN03WBeLar287dMOIeYcsSEvTQ08vjX61IqjlFSd0WT9Ep/ZCFEJe18K0azqUaZO2MHbyX1SuVxf73HZcPXifrav2CF1ehsnkUlK/sw4sOjySY6uXkcelKNXKiJ9ahVS1TC3ehkSyf+8toUvRSeLar28Lidb/GF4AaWl6zD9kQUi0bkSDblSpJfK4FKJdo6EM67MED29vlo9ey/+6TyEqMlro0n6YVP79WYhbps8lKTGeri3FiRtC8y5aAUsTC5YvvyR0KTpJPPfr216HSz+G1wepaXq8DteNwTkxwDLB1NicwT1n0rJLT24cvU3vmsO4eumm0GX9EJlcSuo3hhAfBNzk1ulDlC9ej9zOrhqsTPQlUqmUUkXKcvLcI0JCdOeDkrYQ1359m5NlCnp6nx9Tpa+XhpNlxjY7EIoYYFlQr3I7Ro1dgFRiwK8tp7B81nqUqdr9AFQi+/oQolKpZNvvMzE1tqJDE3HihraoUbERySlKli8+J3QpOiVOPPfru2xMU+lXKwL99yGmr5dG31oROjORQwywLMrj7MH40SspUakKW2fsYkirX3n3Nljosr5KJpeRmvLlE3+Prt1O0IuHtKjTDUPF19fAiTTLwd6V/M75+HvLdaFL0Sm7xbVfP6SWVxwrerxlSutgVvR4qzMTOEAMMJUwUBjSs+M4uvUfyfObr+hbcwQnD50Xuqwvkn3lGVhUWATH1y4nX65iVC2j/SdL5zQVfavz8GkQF88+FroUnSGu/fpxNqapeLkm6UzP6wMxwFSoQvF6jB23FGtbB6Z1mc3sXxeRnKRdY8lyhYzULwTYlml/kpyUQNeWvQSoSvQ95UrVwsjAiMWLzwpdik74sParQWsfoUsRqZEYYCrmYJOL/w37i+qNmnF45Qn6NhzO00cvhC7ro/QhxBRSP3lWd//ydW6fPUJF3wa4OuUSsDrR1ygUBhQv6Mv+I/eJi0sUuhytJ679yhnEAFMDqURGh6YD6TdsChFvYhhUdzS7Nx0UuiwAZAoppKWRokzvhSmVSrb9MRMzY2vaN+4ocHWib6lRvgExcQlsWCNOqf8WpVLJ3xvEtV85gRhgauRTqDwTx68id0EPFg1azsS+fxAbEy9oTTJ5+myspIT07aQOr95M8MtHtKzbDQNFxo+VEWlOvrxFcLF1Zu26K0KXotUuX7tL4H1x7VdOIAaYmpmbWDG0zxyadOjC5T1X6V17KLeu3ResHvn7gzyTkpOICAnjxLpV5Hf1pnJpcZ2MLihbrBJXbr3k4f23QpeitcS1XzmHGGAaINGX0LhGF4aNmUNqkh6jmkxg7aItgqwZkyve98CSktgy7U+UyUl0E3fc0BlVyzdAKpGwaIE4meNLxLVfOYsYYBrkntuLib+uwqtsGTZM2sKoThMJDYnQaA3y90OIgZevc/f8USqVbISLo7NGaxBlnqmpBUXyFGXHnluk/MCmzDmNuPYrZxEDTMMMDUzo12UKHXoM4sHFx/SpOZQLJwM01r7cID3Aji5fhbmJLW0btddY2yLVqFq2LsFh0ezZeUPoUrSOuPYrZxEDTCDVyzblf2MXY2JqxcT2v7Pgt+UkJ395hwxVUijkAEQEvaRVve4YyOVqb1OkWl6Fy2BtZsWKFZeFLkWriGu/ch4xwATkYp+XcSOXUbFOPfYuPMjApqN49eKNWttMjkvfBzGXgzsVS5ZXa1si9ZBIJJQuWo4zFx8T9C5S6HK0hrj2K+cRA0xgMqmcLq1G0GvQeIKehNK/1kgO7jqutvYu77mMoYExv7QZoLY2ROpXo2IjUpSp/LVQnMwB4tqvnEoMMC1RyqsaE8atwMktD3N6LWLqkD+Jj09QaRtBr0M4vfsMXu4lye2SW6X3FmmWrY0z7rnc2bxVfA4G4tqvnEoMMC1iZWHPyIELqNeqHWe3XKBv3eHcv6O6zVtXTdpEamoareqLR6VkB5VLVufJyxBOH38odCmCE9d+5UxigGkZib6ElvV6MnjUDOIjkxnW4Fc2r9yV5fu+eR7E6X3nKF20MnbW9iqoVCS0MiVqYWJozJKlOfucMHHtV84lBpiW8szny4Rxqynk48PKMesZ0/U3IiOiMn2/FRM3oq+nT8sGYu8ru5DJZPh6lOTg0QfERKt2uFmXiGu/ci4xwLSYqZEZg3rMoHW33tw8cZfeNYcRcCHjzzxeBr7h/MGLlClWFWtzazVUKhJKjYqNiEtIZM3KC0KXIhhx7VfOJRW6ANH31anYBo+8Pvy1dAJjW02h6YAGdB7YFqlE8kPXL5+0AalESsv6HdRcqUhdYuPCCY14TljEK8Ii3xIWGUxYVBjhkeHIZfqs3nCKQl4KqlYpK3SpGvVh7degSWLvKycSA0xH5HYuyPjRK1i95Xe2zdzNzXN3GDV/IA6Odt+87sm9l1w66k+VUnWxMLXUULWijEhIiiU0/BlhkS8JjXhLeGQwYZEhhEVGEBEVRWh4LLHv1+8B6OmBlZUCB3tDHF2MKFzMjZu3gmnYeBvVqp5k/Nj6FC9eVMDvSHPEtV85mxhgOkQhN+CX9mPx9CjJxtV/0q/mCPrM+Jkqdcp99ZoVEzcglyloUVfsfQkhKSWRiIgXhEa8JDTyDeGR7wiLDCUsMpzwyEhCI2KJiv78gEpzc1l6ODkaUbiYLU7O+XB2tiRXLhtcXW3J5WaPgcHnR9+kpirZufMoU347Q6Wqq2na1ImxvzahQL68mvx2NUpc+yUSA0wHVfCtS4HcRVi8fDzTu80hoPM1+o7t/nGbqA8e3nhKwMkAapZrgqmxqUDVZl9KZRIRUW/Th/Yi3xD2MZzCCI+KJCwihvCIeNLS/rnG2FiKg70hDg6G5POwwNHRDWcXS1xcrHB1tcU1tz2mpsYZrkVfX0KzZrVo2LAqa9fuZcbv/pQstYhOnfIwanhTHB0dVfida4cPa7/6/lpP6FJEAtFLS/v0x0s7RUVFYW5uzsJF+zE0zPgPd3aVokxh896FHN29HWcPR0YtGkSe/K4f//2oFlN4cCWQWaNXYGwk/rllRGqqkqiYIEIjXhAa+YqwiHeER4a8D6cIwiJjCAuPQ6n858dHodDH3t4QRwcjHB2NcXIyw8nZAhcXa1xdbXDLY4+lpblG6o+NjWHxol3Mn3eTpKQ0evfyYGD/ZlhaWmikfU3oNXgJ+3Y/4/CNmeL0eS0XEx1P2TwDiYyMxMzMTGX3FXtgOkwqkdKucX8KFyzJymVTGVR3DF0mtqdx2zrc8X/I9fPXqVuphRhe/5KaqiQ2PoLQ8GeERr4m/MOkiPfhFB4RTWh4LEnJ/5zXJpXqYWdniKODIQU8jHF0tMHZxQJn5396Tra25ujr/9jEGnUzNjZhyND2dO0WxuyZ21mw8C4rVk5j0KBi9Py5CUZGhkKXmCUf1n41aOMphlcOJvbAsonImDD+WjWBu/5XKdOkBFEv4nh+9yWzRi/H0MBI6PI0Kj4xipDw54RFvCA08h3hkUHp4RQZQXhk+qSI+IR/ztLS1wcbGwMcHAzTe06Opjg5mePiYoVLLhty57bDwckaiUR3P++9evmK6dN3sHHDM+ztFYwaUYoO7esjk+nm9/T39qN077KfLScHitPndYC6emBigGUjylQlfsfXsevvVaQpoXaFprRr1EXoslQqMTmOsPDnhEa8fD+dPIiwqFDCI8IJj4oiNDyGmNjkz66xspLjYG+Eo6MRTk4mODla4JLLEpdc1ri62uGcy+7jQZ/Z3f37gUz5bTd7dr/B3d2Isf+rRMMGVZH84JIMbdGgxUzeBiWw5eg0oUsR/QBxCFH0XRJ9CQ2r/4SLrTsL5owhOiJe6JIyJCUlibCoV4SFvyAs8k167ykqlLCIsPfhFE1k1Ocz9szM/pmx51HUGienvLi4WLwPJ3tyudphaGQg0HekfQoWzM/qNYPxv3yNiRP306HTAXx9zzNhXE2qVNaNjXDFtV+iD8QAy4Z8vMri5VmFS3eO0iK8DdaWVkKXhFKZQmTMW0LDXxAW+fr9jL2Qf83YiyP1n8dOGBlJ0mfsORpR3N0MR0eXj+GUK5cdrm72mJmLPfLMKFHSm917vDl29AwTJxyjQaOtVK92ggnjGuLtXVjo8r5JXPsl+kAMsGyqVbuf+fXXk2zeuZ5eXfqpta3UVCUxsSGERL4gLOLlx3AKjwwjLDKS8MhoQsNiSflkxp5crv9xOrlnEROcnOxxdrbA+f10crfcDlhamaKnJ+52pk7VqlegcpUy79eQnaVilZU0a+bMr/9rQv68eYQu7z/EtV+iT4kBlk05ODlSvGgNLt08SvPg1tjZfnvHjm+JjQsjNOL5++nkn8zYi4wgPCo9nBKTlB/fL5HoYWebPikibwFjnJzccHIyx9nFMn3Gnps99g6WWjNjL6eTSKQ0b16bhg2rsHb1PmbMCKBkqYXv15A1w8HBQegSPxLXfok+JU7iyMZCgoIZPaod3gXK07/7kC++JzExmpCI54R+2GMv4t37PfY+zNiLIS7+nxl7enpgY63AwSF9UoSjkynOTuY4O1uRy9UaVzd7HJ1sdHZ2m+ifNWTz5t4kJSWNXj0LMWhAUywsLIQuTVz7paPESRyiDLOxs6VU8bqc99+D30lTklNiCf+wjdH7GXvRMUmfXWNpIcfeIX1SRFEfO5ycCuDsbImLa/qMvVyudv/Z8UOUvXxYQ9alayizZ21nwcI7rFh5n8GDi9Gju3BryMS1X6J/EwMsm2vRtjOBTw+xcc8uTE2k6eHkYEQBTyucnHPj4myBcy5r3FzTJ0UYGev2AleR6lhZWTNp8s/06JG+hmz8+AAWL77FqBGlad+unsZ72eK5X6J/y9QT8oULF5InTx4MDAzw9fXl9OnT33x/YmIiY8aMwc3NDYVCQb58+VixYkWmChZlkH4874LjmDW7Js9eTuWS/1h27R3K4qU9GDu+LV1/rkvtOqXw8Mwthpfoi1xyOTNvfl9On/0Fb29L+vY/RelyE9m1+yhKpfL7N1AR8dwv0b9lOMA2bdrEwIEDGTNmDFevXqVixYrUrVuX58+ff/WaVq1acfToUZYvX879+/fZuHEjHh4eWSpc9GOCggIBKFzY9TvvFIm+zcOjAGvXD+HQ4fbY2RnQvuN+atSewsnTF9Xe9oe1Xw1a+6i9LZHuyHCAzZo1i27dutG9e3cKFSrEnDlzyJUrF4sWLfri+w8cOMDJkyfx8/OjRo0a5M6dm1KlSlGu3NePABGpTkjwUwDyF3ASthBRtlGipDc7dw9n85bGxMcrqd9gC02aT+f69dtqa1Nc+yX6kgwFWFJSEgEBAdSqVeuz12vVqsW5c+e+eM3u3bspUaIEv//+O87Ozri7uzN06FDi47++S0RiYiJRUVGffYkyJzjkFRYWciwtVTfzRyTS15dQo2YFjp8cw19LqxP4KIYKlVfSudtsHj15otK2xLVfoq/JUICFhISgVCqxt7f/7HV7e3vevn37xWseP37MmTNnuHXrFjt27GDOnDls3bqVPn36fLWdqVOnYm5u/vErV65cGSlT9Ing4Le4uIhLD0TqIZFIadmyDhcujmH69DKcOhVEiZILGThkEW/fBqmkjQ9rvxq30Y2trkSak6lJHHp6ep/9c1pa2n9e+yA1NRU9PT3Wr19PqVKlqFevHrNmzWLVqlVf7YWNGjWKyMjIj18vXrzITJkiIDQkGFc38TBLkXrJ5Qq6/9Ic/yujGTbci82bn+LlM4PxE1cSERGRpXuvXn8OK1sFFatXVE2xomwjQwFmY2ODRCL5T28rKCjoP72yDxwdHXF2dsbc/J+D/AoVKkRaWhovX7784jUKhQIzM7PPvkSZExwcgaurhdBliHIIExMThg7rQMDVoXTukp958+/g5TONP+f+TXx8Qobv92HtV53mHuLaL9F/ZCjA5HI5vr6+HD58+LPXDx8+/NVJGeXLl+f169fExMR8fO3Bgwfo6+vj4uKSiZJFPyopKY6wsFjc3KyFLkWUw1hb2zD5t5+57D+AOnWc+HWcP96+k1i9Zg/JySnfv8F74tov0bdkeAhx8ODBLFu2jBUrVnD37l0GDRrE8+fP6dmzJ5A+/NepU6eP72/Xrh3W1tZ06dKFO3fucOrUKYYNG0bXrl0xNBTXHalTUFAgaWmQN++Xe8cikbq55HJm/sJ+nDn3C8W8LejT7yRlK0xi995jP7SGTFz7JfqWDAdY69atmTNnDhMnTsTb25tTp07h5+eHm5sbAG/evPlsTZiJiQmHDx8mIiKCEiVK0L59exo2bMjcuXNV912Ivig4+DEA+fI7ClyJKKfz8CjAuvVDOXCwLVZWctq196NmnSmcOnP5q9eIa79E3yNu5puNHT40ly1btvPqzW9IpeKuYSLtkJqq5OiRc0yaeIxbt2KoWdOWCWMb4uXl+dn7Rk/ayMI5V9h3ZSxOTuI6Rl0mbuYryrDgkNc4ORuJ4SXSKvr6EmrWqki16mXZtu0w06aco3ylFbRo4cL/xjTBwMCCoaP3ctDvNikpadT3nYRbQWs8vJ0o4pMb31IeuBd0QyIex5Pjib/ZsrGQ4CBy5TIRugyR6IskEimtWtWlceOqrFmVfg7Z9u3zkcmlpKZJqFi/GZ4+Xjx/fJtngXe5eOwp+9ZdB3ZhbK6gQBE7Cnm74FUiHyVLeWJvL05WymnEAMvGQkJCKeRpK3QZItE3KRQG/NyjOXnd3ejdcwemltZ0HzoPK5v0Z7eFi1T5+N7IyCACH17i6YObPA98wO5119i44DwAdi6mFPRywNPHFZ+S7vgU98DIyECIb0mkIWKAZVOpqUreBUXh5lZQ6FJEom96+Ogl48fvZP+eZ+hL9HAr5vUxvP7N3NwO3xIN8C3RAEj/e/7mTSCPHvrz9OEtngU+5vzhE6QkH0Ui1cfN3Sp96LF4HkqU8sDdQxx6zE50KsCiklMRZ97/mMjI1yQlKsmdV+yBibRTcGgkU6ZuZ8PqexibKmjTvyNbl2xDZvjjf2f19SU4OxfE2bkglaqkv5aUlMCTJ1d58uAKzx7e4/Kpp/htuAHswthMTv4PQ4+++ShZ2hMHB3F/RV2lUwG28HEsjXMrKG4hngj8Pe+CHgKQP5+DwJWIRJ+Li09k3oJ9LJzrT1JyGjVa1aRaiwEoFKZsmr8eAwOjLN1fLjegYMGyFCxY9uNrUVHBPHpwmccPr/Pi0UP2rr/O3wsvAGDrbEpBL3s8fdzwKVmA4sU9xLPxdIROBVgasOdNAvmMpZjLMrWNY44REvQMgHz5nAWuRCRKp1SmsG7DCX6fdpp3b+IpW7sEdTsMwcIm/ay6+Lh40lJTMTDKWoB9iZmZLT4l6uFToh7wfoj97SMCH1zmaeAdXgQGcvHoCZYkHUUi0cOtoDUFizlRpHj6rMeCHm5IJTr16zJH0Ln/ImlAWFKqGGDfERzyCitrBWZm4ro5kfAOHQ1g4viD3LkZTtHSBej86yCc83h/9p7YmGgADLPYA/sR+voSHJ3ccXRyp2KV9NeSkxN58uQKTx5e49nDuwScfsL+jTeA3RiZ/jP0WLR4XkqV8cTRURyeF5rOBZgeYCUXw+t7goPfkiuXGF4iYV2/+Yhx43Zz6thrcrvb02/6OAp61/7ie2Oi0/dLNTQS5u+tTKbA3b0s7u6fDD1Gh/LowSWeBN7gxcMH7Nt4g02L3g89Opng/n7Wo3eJAvj6emBsov7wFf1DpwJMD2joaCD2vn5AaGgI7u7iMSoiYbx8FcSkyTvZtjkQK1sTOg3vgW+V9ki+MQwXFxcLgJGx9qxdNDO1xse3Lj6+dYEPs3sf8+i+P08Db/Ey8BGXjp0kOekYEokeru7WFPRypEjxPPiWLohHodzi0KMa6dSfbO+8xtibiRM4fkRwUDg1a4pT6EWaFRUVy4zZu1m++Dr6UgmNujSlUsPeyH9gWDAu9n2AqeEZmKro60twdCiAo0MBKlROfy05OZFnT67z6OEVngfe5cq5JxzcfJO0NDA0kZO/iC0exVzw8k0fenRyshP2m8hGdCrAzMSe1w9JSIgiPDye3LnFnQlEmpGUlMzSlYeY88d5IiOTqdSwAjXbDMLU/MdPQoh/H2DGWtQD+xEymYL87qXI717q42vR0aEEPrzM04fXeR74gAObb7Llr4sA2DiaUMDLnsIfhx4LYWKqvaGtzXQqwEQ/Juj9FPo84jEqIjVLTVWya88Ffpt0lMeB0ZSoUoT6Pw3G1skjw/f6MIRoYqz7Q9+mptb4FK+DT/E6QPqfU1DQUwIfXObZw1u8eBSI/4nTLEs8jr5Ej1z5rfAo5vhx1mOhwnnEoccfIP4JZUPBwU8ByC8eoyJSo/MXbzNu7D78Lwbj7pWLoXN+JXehCpm+X0JcHAAmJtlv8pG+vgQHh3w4OOSjQqX015JT0oceHz9MX3B97cITDm25RVraXgyMZeQvbPtxwXWJ0oVwcRE/kP6bGGDZUHDwc+QKfVxcxGm+ItV7+OglEybswm/3U5xcLfl53BCKlmmCfha3aEqIj0NfKkUuzxnPuWVSBfkLlCJ/gX+GHmNiwgl8eIknD6/zIvABB7feZsuSSwBY2RtTsJj9Z7MeTc10a7hV1cQAy4ZCQt7i4myc5V8oItGngkMjmTptB+tX3cXIREHrfu0pW6c7UqlCJfdPjI9DKs/Zm++amFji7VMbb5/0pQapqUpCgp/x8MFlnj24xYvHjwg4dYblCSfShx7zWVLw/dBj8ZIeeBbOi0yWc36t55zvNAcJCX6Hi3iMikhF4uITmb8wfeunxMRUqresSfWWAzA0slBpO4nx8UgVOTvA/k1fX4KdfV7s7PNSvmJrAFJSEnn29AaPHlzh+aN73Lj0hMNbb5OWtg8DYxn5PG0p5O1M0eJ5KVmmMLlyZd+hRzHAsqGQkDC8iol7IIqyJjVVyfqNJ5g+9RRvX8dTppYvdTsOwdLGTS3tJcbHIRMD7LukUgX58pckX/6SH1+LjY1IP2bm4Q2eB97n0PY7bF16GUgfenT3sqeQdy58ShTAt2QhzLLJ0KMYYNmMUplCUFAUbm6FhS5FpMMOH7vChHEH3m/9lJ+f/jcQ5zzF1dpmUkI8Urm4iW5mGBtbUMy7FsW8a318LSjoCYEPLvH04W1eBAZy5fQ5ViacRE8/fejRvZgDRX1yU7xUQQoXya+TQ4+6V7Hom8IjnpOcnEoe8RgVUSbcvP2YcWN3ceLoa9wK2NF36q94FK+rkbaTE+LFHpgK2dnlwc4uD+XeTwxNSUnk+bObPHp4lecP73LL/zFHt98lLdUPhaGUfIVt8fB2xqt4XkqUKYSbq5Ow38APEAMsm7l89QQAbq5igIl+3KvXwUyavIOtmwKxsjGm47BfKFG1wze3flK1pIQEFAZigKmLVKogb74S5M1XAtKXpxEbF8mjh5d48n7o8eiOe2xf5g+Apa0R7l4fZj3mp0QpT60behQDLJt4+uYZazcv5PHV8ygMJRw6cZPivu5ClyXSclFRscycvYdlf11DX19Cw86NqdyoD3IDza/FSk6Mx8TMSuPt5mTGRuZ4FauJV7GaH18LDnpK4AN/ngbe5EVgIBsWnGNlfPrQo0teCwoWc6SwT258SxWkcJF8yOUyweoXA0zHhUdHsGbbEm6cOYDU2IhK/XuS/MKfebMu06ZVOXLnEhczi/4rOTmFZasOMvuPC0SEJ1GxQXlqtx2MSQa2flK1lMREsQemBWztcmNrl5uyFVoAoExJ4vmL2zy+H8DTwLvcDnjM0R3/DD3m9fxk6LGUB7ncHJBoaAmPGGA6KiEpkU1+6zl7aAvKlGS8WjahWc+umJiZEhtZmzun2zFs+Ga2bBwgdKkiLZKaqmT33gtMnpi+9ZNv5SL06Zy5rZ9ULSUx/oc2/RVplkQqJ08eH/Lk8fn4Wlx8JI8e+r8/O+0+x3bdY8fy9KFHCxvD98fM5KKYbz5KlC6MVF89USMGmI5RpirxO72PA7tXERcWSt7qVWgxoCcOLv88cDU2t6HBoI6sH7OE7XvO0qxheQEr1n7voqQ8D5fjapmEvVmK0OWozYVLdxk3dg+XLwRToKgLg2f/j7yeFYUu66PkxAQUhmKA6QIjQ3OKelWnqFf1j6+FhDwn8P4lngbe4vnDQDYuPM+q+FPo6YFjbgu11CEGmA45f+Mi27YtIvTZYxx8itFx9mQKFv3ydHmfOu0I2HOI/408SPUq3pibZr/95VRhx3VzJu93JDVND329NP5X9w1Ni0UKXZZKPXryivHjd7Jv11McXS3pPnYQXmWbad1OLcqkBAwMxGn0usrGxhUbG1fKlP9n6PHFi9s8enCFx/du8PqJv8rbFANMB9x/9pD1Wxby4lYA5rndaD1zCqWrffuTs76+hCYjRzGzVS8mTdnKjKk/aaha3fEuSvoxvABS0/SYvN+Rcnlis0VPLDQskqnTdrJu1R0MTRS06tuOcnV/VtnWT6qUlJREakoKhmIPLNuQSOXkzuND7jw+lKsYS8DxWt+/KIPEANNib8OCWLv1L+5eOIrC0oKawwdSq1XjH57abOfmSfUutVm99ABt2jygRDFxVuKnnofLP4bXB6lperwIl+t0gCUkJDJ/kR8L/vQnIUFJtRY1qN5iAIbGlkKX9lUx0dEAKLT4MEuR9hEDTAvFJsSyfvdqLh/dCfp6lOjUlqa//ISBYcaHV6p2Gci1g+cZMmgbxw4P0+i6Hm3napmEvl7aZyGmr5dGLsskAavKvNRUJRv+Psn0qSd58yqe0jWLU6/jUCxt1bP1kyrFxcYAYGQkDnWLfpz420yLpCiT2XlsB0f3rScxOgr3OjVp3v8XbOwyvyhZpjCiyah+LO4xiUXLD9D3lwYqrFi32Zul8L+6b/7zDEwXe1/HTlxj/Lj93LoeRpFS+eg4ZhAuat76SZViY9IPszQUA0yUAWKAaYnjl4+za8cyIl+/wKVMSZoO6kMe93wqubd7qVqUarCH3yefo2nD0jg7irt0fNC0WCTl8sTyIlxOLh2chXjzzmPGj9vN8cOvcCtgR58p/6OQbz2hy8qw2Jj0HpixOIQoygAxwAR2M/AWG7cs4s39m1gWyE+HBTMpXq7U9y/MoPoDR3PnTEdGjNrEulV9VX5/XWZvlqJzwfXqTQiTf9vBlo0PsbQxpuPQnylRraPODhHHvT+N2dhYu7YqEmk33fzbng28ePeKtdsW8fDyaYzsbKk/diRVG9dR29RmU2tH6vVrzeZJa9h36BL1a6k+JEXqFx0Ty6w5e1i66Dro6dHwp0ZUbtxXkK2fVCkhLn0I0dhIDDDRjxMDTMMiY6JYt3M5V07uRaJQUK5HVxp1bodcof5j1Es16cqVfUcZPdyPKhW8MDYSt+3RFcnJKSxfdZhZf5wjIiyJCg3KUbvtIEwtssdWYfHve2AmJmKAiX6cGGAakpySxOYDf3PqwCZSEhPwbFSX5n1+xtzSQmM16OtLaDJqJHPaDmDK79v4bXx7jbUtypzU1FT2+l1k8sQjBD6IwrdSYXp3HoydcyGhS1OphLhY9PQlyOXq/yAnyj7EAFMzZaqSwxcO47dzBdHB73CrVJ7mA3vhkttVkHqc8ntTpVMVli04QZvWZSlaKK8gdYi+75L/PcaN3cPFc0EUKOLMoFkjyVe4itBlqUVifBxShQESiXbtDiLSbmKAqZH/3QA2b1lE8OMH2BbxpNWUMRT29Ra6LKp3H8qNw/4MGbyVA/uGaN2WQjnd46evmTBhJ3t3PsHexYLuvw7Eq1zzbP3fKTE+Hqlc+3YIEWk3McDU4PGrJ6zbspAn1y5i4uJMkynjqFC7qtb8AlIYmtJoeE+W9fudFeuO0L1TbaFLEgFh4VFM+30na1bcxsBITotebSlX72dksuz/rDIxIR6peBqzKIPEAFOh0Mgw1m5fwo0zh5CbGlN5QC/qt2+JVCbcgW9f41mhIT619jJl/Cka1SuJnY14kKBQEhISWbB4P/PnXCY+Xkm1ZtWp3nKgVm/9pGpJ8XHIFOJGvqKMEQNMBeITE9jkt45zh7eSqlTi3boZzXp2xtjUVOjSvqnhkDHMaNGZ0f/bzLLFPYUuJ8dJTVXy9+ZTTJtyktcv4yhTozh1Ow3B0ja30KVpXFJCAjKxBybKIDHAskCZqmTPyT0c3rOG+Igw8tWoQvOBvbB3dBC6tB9iYedK7d7N2D59E23bXaN6JW+hS8oxjp+6xoRx+7lxNYzCJfPSfkR/cuXPuWvzkhPikcnFABNljBhgmXTm2ll2bFtC2IsnOPh602ngVNyLCH+qbUaVa/ELV/eeYMTQ3Zw5VQgDA/FBujrdvveE8WN3c/TQS1zz29L7tzF4lqgvdFmCS06Mx9DSXugyRDpGDLAMuvf0Puu3LOTl7auY581Nm9lTKVWlgtBlZZpEKqfJ6GEs7D6cajX/oElTT6pVLUzxYvm1ZtJJdvD6bSi/TdnB5g0PsLA2psPQbpSs9pPObv2kasmJCcgNxB6YKGPEn54f9Db0HWu2LubexeMYWFlSa8RgarZsmC1+Abl6lsbI1ppXb+KYOe0i0yaex9JaQelyDlSslIea1b3Jn9dZ6DJ1UnRMLLP/3MuShddAT4/6HRtRpUkf5AbijhOfSklMQCGexizKIN3/7atmMfExrN+9isvHdqEnkVCyczuadO+UqbO5tJnE3AaTXOaMmTCeJzdP88j/PPeu3ObQvpOMST2Bs6sx5So4UalKAWpULYa9rThr8VuSk1NYueYIM38/S3hoEhXql6VW28GYWWaPrZ9ULSUxAYWhbu/nKNI8McC+IkWZzPYj2zm+bz2JsdEUrFeL5v1+wdrWRujS1EJmbEhSXBwGhqYUKlWPQqXSj+SIiQwiMOAYDwMucfrMfbZseIienh8FPS0oW8GFKlU8qFKxCKYm4i+fD/b4XWTShEME3o+ieEVPenYegr1L9tr6SdXSe2DiEKIoY8QA+4Kjl46xe8dSot68Ile50jQb1Ae3/HmELkut5EZGRIe/+8/rJuZ2eFdrg3e1NgCEvn7Eg4BjPAq4wvatD1n51y1ksu14FbemfCVXqlUtTJmSHsi1cO2bul0OuMe4cXu5cOYd+bP51k+qlJKcjDI5CQOxBybKIDHAPnH94U3+3rKQtw9uY1WwAJ3GzsK7TEmhy9IIhYkRYfHx332ftVM+yjrlo2zD9HVMb57c4OHlEzy6cp2lC28w948AjE2klCxrR/mKeahRrShFPXNn6wkhT56lb/20Z8cT7J0t6Pa/ARQr3yJbf8+q9OEsMEPxMEtRBokBBjx/95K1WxYSGHAWY3s7GowfRZWGtXPULyC5kTEpcd8PsE/p60twzueDcz4fqrSB5OREXtw9z0P/MwQG3GT6xPP8NvYsNnYGlCnvQMXK+alZ3YvcubLHc6Cw8Cim/7GL1ctvYWAop0WvNpSr90uO2PpJlaKjowEwNBQDTJQxOTrAImIiWbtjGddO+SE1MKBCz240+KmtRs7m0jYGJkak/EAP7FtkMgV5vaqQ16sKtbtCfGwEj6+fIjDgPDeu3GXvjiOM4AhueU0oV9GZSpXcqVG1GNZW5ir6LjQjMTGJhX/tZ97sS8TFKanSpBo1Wg3EyESc2JIZcTHph1kaiodZijIoRwZYQlISWw9u5PTBzaQkJlC4SX2a9+qOmaVu/SJVJQMjY1LiE1AqlSo70sLQ2ILC5RpRuFwjAKLCXhMYcJyHAZc4cuQBG1ffR19/D4WKWFKuYi6qVi1ExXJFtPagzdRUJZu3nmHqb8d5+TyWMjWLU7fjYKzsxCNpsiLu/WnMRuIQoiiDclSAKVOVHDx7kP27VxITEkTuKhVoMbAXTq65hC5NcIamxpCaSnxCPCbG6vkkbGblRPGa7SleM/0gzaCX93jof4JHV66yacMDli64gVyxBZ+SNpSv6Ea1qoUpWbwgMqnwf02Pn7rGxHH7uX41jMIl8jJ8eM7e+kmV4mJiADBS0987UfYl/G8GDbl0+zJbti4m5MlD7LwK02b6ODx9igpdltYwfP/LIzo6Rm0B9m92Lh7YuXhQvgkolSm8fnSFh5dPERhwnQVzrjJr6mXMzGWULGtPxUp5qVG9KB4Fcmn02eSde88YP24nRw6+xDWfDX1+G02hEg001n5O8KEHZmoszkIUZUy2D7DAl09Yv2UBT69fwjSXC82nT6B8rWpCl6V1jE3TQys2OgocNL8ZsUQiJZd7KXK5l6Jae0hKiufZrTM89D/Loyu3Of7racaPPoW9kyFlKzhSqXIBalYthrOTrVrqefsulMlTdrBp/QMsrIxoP6Qrpar/hESS85YHqFtCfPosRGMxwEQZlG0DLDgimLXblnLr3GHkpqZUG9yXOm2aaeXZXNrgQ4DFvB/OEZpcbkiB4jUpULwmAHEx4Ty6epyHARfwD7jHzs0HgYPkL2hGmfLOVKlSkGqVvLCwyNoRNjGxccz5cy9/LbxKapoe9To0oHKTvhgYavfROLosIS4O9PTEWYiiDMt2ARafGM+GvWu4cGQHaalKfNq2oGnPzhiL4+vf9OHsstiYaIEr+TIjE0uKVmxG0YrNAAgPfkGg/1ECrwSw3+8B61bcRSLZia29IXa2hphbKLCwUGBhYYilpSGWlkZYWBljaWGCtbUJ1tam2FhbYGlpjEQiRalMYcXq9K2fQoMTqVC/LLXbDcbM0kng7zz7S4yPRyo3UNnkIVHOkW0CLEWZwt6Tuzm0Zy0JkeHkr1WNFgN6YusgHtHwI0zM0gM+Tkt6YN9jaZuLknU7U7JuZ1JTlQS/uMvqcb8RFRRG3gJuRMXG8C4oltiYSGJjEoiJTiQlJfU/99HXB1NTObYOCgLvR+NToRA9Jg/CPlcRAb6rnCkhLhapXDzGR5Rx2SLATl89w45tfxH+8hmOJYvTdNB08hcqKHRZOsXU1AyAuFjdCLBP6etLsHcrgm0BXyLenaJL7/n/eU9qqpKExGjiokOIiQklNiaU2Nhw4mIiiY2J5OSxs9i4udHt1+UCfAc5W2J8PFJF9tocW6QZOh1gd5/cY/3mBby6ex2LfHlo++c0SlYqL3RZOkmhUKAvk5EQGyt0KZlmYW9PfHQ4ySlJyKSfL0bX15dgZGiBkaEFNnb5/3NtsnQL+9bN4dGDB+Rzd9dUySIgKTEemUI71/6JtJu+0AVkxpuQt0xfPJ4/JvUkLOQVtUcN4X+bV4rhlUUSIwOdDjAbJ0fS0lJ5++5thq+tXaMBckMTDm3foobKRN+SFC8GmChzdKoHFh0Xw+qdK/A/vhs9mYRSXTvQpFtH8RgGFZEaGpIYp7sBZuecvsfi2zdvyOXsmqFrDQ0N8SxVjdvnjxAbMwBjE3HSj6YkJ4gBJsocneqB/Tq+G5eO7sC9bg1G79pI6z4/i+GlQjIjQxLf7wyuixxcXQB4F/Q6U9fXq9eS5IR4juzdo8qyRN+RnJiAXHwGJsoEneqB2Xq603JYf1zzZe+zuYQiNTIkKTZrG/oKydzSHKnCkNDg/55r9iPy5M6LUwEvLh/aTcOWrdAXp3VrRHJiPDJbcbmCKOMy1QNbuHAhefLkwcDAAF9fX06fPv1D1509exapVIq3t3dmmqXPjMlieKmR3Cj9VGZdZmRpTXho5gIMoFKNJkS8esaNq1dUWJXoW1ISElAYiD0wUcZlOMA2bdrEwIEDGTNmDFevXqVixYrUrVuX58+ff/O6yMhIOnXqRPXq1TNdrEi9ZMZGJMfrdoAZW1oTFR6S6esrV6iKkYUNx3ZuU2FVom9JSUpAYSDuwiHKuAwH2KxZs+jWrRvdu3enUKFCzJkzh1y5crFo0aJvXtejRw/atWtH2bJlv9tGYmIiUVFRn32J1E9uZEhyBg+11DamNrZER2Y+wKRSGT7l6/L06jlCg4NUWJnoa1ISE1AYij0wUcZlKMCSkpIICAigVq1an71eq1Ytzp0799XrVq5cyaNHjxg3btwPtTN16lTMzc0/fuXKJR53ogkGJsZZPtRSaOZ2dsRFhmbpHvXrN4c0OLB9u4qqEn1NqlJJSlIiBuI+iKJMyFCAhYSEoFQqsbf/fHsme3t73r798tqbhw8fMnLkSNavX4/0B891GjVqFJGRkR+/Xrx4kZEyRZmkME4/1FKXWTnYk5QQS3Rs5vd0tLW2JU/RMlw/vh9lSooKqxN9SpmSwuE9G5Ebm6CnpxS6HJEOytQkDj09vc/+OS0t7T+vASiVStq1a8eECRNwz8DuBgqFAjMzs8++ROpnYGxMSlw8SqXu/jKxeb8W7PXrV1m6T406zYkLD+bsieOqKEv0L5fPHmJSr3bsWbQQUpJ4ef+60CWJdFCGAszGxgaJRPKf3lZQUNB/emUA0dHR+Pv707dvX6RSKVKplIkTJ3L9+nWkUinHjh3LWvUilTI0MSJNqSQpKUnoUjLN3sUZgLdv32TpPj5evlg4unFm304VVCX64N6ty0wf1JXVE8djbpLKqs2d6dC1NA+vBxAVFSZ0eSIdk6EAk8vl+Pr6cvjw4c9eP3z4MOXKlfvP+83MzLh58ybXrl37+NWzZ08KFizItWvXKF26dNaqF6mUocmHU5l1d9KMg4sToEdwcNYCTCKRUKpSA17fucbzp09VUltO9ur5Q+aNG8j8IQNIjApixsKWnDs9gAa1CtOjexlSU5ScOrJL6DJFOibDC5kHDx5Mx44dKVGiBGXLlmXJkiU8f/6cnj17AunPr169esWaNWvQ19enSJHPj6Wws7PDwMDgP6+LhGdkmn4ibnR0NHZ2unkMjVwhx8DMgrDgjO+H+G91ajXk2M4VHNy2mZ+HDM/SvaITUgmPV2JpKMHUQKc2wMmSsNC3bF+5gBvHTmBibsjwCXUZ0KsSCvk/v3ry5bXFq4Qb/icP06BZFwGrFemaDAdY69atCQ0NZeLEibx584YiRYrg5+eHm5sbAG/evPnumjCRdjI2eX+oZRYmQGgDIwsrIsKDs3wfUxNTPEpU4e6ZIyT07o+BYea2LbvxOpFD92JJA/SAWh7GeDll7/Ov4mKj2LNhKRf27kVfDzr3Ls+YYTUwN/vydPm27YozctB2HgXeIl9+8cOt6Mdk6qNg7969efr0KYmJiQQEBFCpUqWP/27VqlWcOHHiq9eOHz+ea9euZaZZkZoZm6YPIcZG696ZYJ8ysbYhOguLmT9Vp14rkuJiOOq3N1PXRyekfgwvgDTg0L1YohP+e7hmdpCclMjezcsY36Ul53bupF6zIly+OozfJzX8angBtG3li5GJAScP7NBgtSJdl3PGMkTfZWL2vgcWo9s9MDNbO2KysJj5UwXzu+OQtzCXDmZug9/weOXH8Pog7f3r2UmqUsmpQ9sZ370VB1aswLdsLk6cG8jyhW1wcjD/7vXGxnKq1/Hk1sUzJCfr7iQikWaJASb66MOpzPE6eCrzpyzs7IiLCiM1VTUhUb5aI0KfPeTW9YxP9bY0lPDvBSZ671/PLq5dOs7kPh3YPHMGbm4m7Nzfix1/d6GQu0OG7tOta2niomO4dPagmioVZTdigIk+MjAwQE8qJT5Wt/dDtHJ0IFWZQnCoanph1avUwsDUkqM7M37YpamBPrU8jD+G2IdnYNlhIkfg3av8MewXlv06BkNZIkvXd+TYod5UKJM3U/erUC4vufLace7YfhVXKhLa23dZmxX8NTp1nIpIvfT09JAa6vapzAB2zulHc7x+/Qp726zPppTJ5BQrVwv/YzuICAvHwsoyQ9d7OSnIYyXLNrMQ37x6wvbl87l77gI2Dub8Nqcp3TuWQSLJ+vfVrKUX8/44RmjIG6xtHFVQrUhoBw7uYe/KuWq5t27/JIlUTmpkqPMB5uCavpg56F3mDrb8knr1WpKqVHJwV+b2RzQ10MfVUqbT4RURHsyqOROZ9stPPL91nYGja3D16nB6dC6nkvAC6N61DPoSPZbPnciL54EquacuikpM5VlkMlGJujvZJyIygj8mj2DnomnYeRZUSxtiD0z0GamRgc6fCWZpY4VEKidEBWvBPnBycMTNswRXj+6jZafOOeqwy/i4GPZtWsG53bsgVUnbbqUZN6omlhbGKm/L0d4cGzsDnt25zW/9fyJXwUKUr1Wf8pXqI5PJVd6eNrr+LpH9j+M+Lruom9eIYva6tezi/MUzbF40neSEOGoO7UeVJjUZU6GRytsRA0z0GZmhkc4HmEQiwdDCivAw1R6HUrVWM1bOGsHFs2coW6mySu+tjZTJyRzeu4Hjf/9NfHQ0dZp6MXFcXXLnslJru5aWepSr7EreQl5sXefP3/NmsHvVXxSrUIUaDVrh7Jy5Z2y6ICox9WN4QfqM1f2P48hjIcNMof299/iEBFYumcON43uxcXfnp+ljyJXPlYQY9YzqiAEm+ozMWPdPZYb0gy0jw7K+mPlTpUuUZZutE6f2bM/WAZaqVHLhpB/716wk/M1bylQryORJnfEu7KKR9vXQQybVp0+favTpU42LFx+zfMlpTh04xPkDe3Hz8KR87YaUq1AbqTR79crCE76y7CJBqfUBdvvuTdb8OZno4LeU+ak9Lfr/hFQmU2ubYoCJPiMzMiQuJFzoMrLMxMaWiGeq3RFGIpFQolJ9ju9YzuuXL3Fy0cwvdE26eeUMu1b8xduHj/DwceWvJT9TreKPnyShCvr66SdcfFC6dF5Kl85LREQsq1efZ/sGfzbMmcaulYvwrliVmvVb4+DoqtEa1cXSIH3Zxachpvf+dW2VkpLCxvXLOb97AyYO9vy8Yg6FimtmNxXtjnSRxsmNjUjR8Wn0AOa2dsR+4WDLqKRUnkYnE5WUuYfj9Wo3RV8i48D2jE+p12ZPA28za2Qv/ho1HIkyivkr2nLySB+Nhxekz4ZNS/13PwQsLIwZMKAGJy+OZO2evpSunIfLR/yY0Lsd0//Xi7On96NMSdZ4vapkptCnbl6jz5Zd1M1rpLW9r+cvnjFxeA/O7lxLoXq1Gb1jucbCC8QemOhfFEZGJOvYoZbR8alExCqxMJZgapj+g27pYE9CbCTxCQkYGqTvYXg1JBG/5/88HK/naoSPTcYejpubm1PApyK3Tx0mqWcf5HLdHsIKevuC7Svmc/vUGSxszRj7eyN6dy2HVCrcJ349PUj7b359pkL5AlQoX4Cw8BhWLj/Ljr8DWDtzMjssF1C8UjWq12+FvZ1u9pCL2SvIYyEjPEGJpYFEK8MrNTWVvXu3cWj9X8iMDGk7azKla5TXeB1igIk+Y2BiTEp8vNBl/LBbzxI5cv2fUKpRzIgibgpsnNJ3gXj79jV5cuclKin1Y3hB+hCN3/M48pnJMJNn7BdE7bot+PPSEU4cPECthqqfWaUJUZFh7Fq3mIADB5ErpPQaWpXhg6pjYiR8IOvr6/3nOdDXWFmaMGRobQYOqsHpMw9ZtfQs5/bv5vSeHeQt4kXF2o0pWaY6Eh2bNWqm0NfK4AIIDQvhrzm/8fzGJXJXKE/nycOwsLYQpBYxwESfMTDWnQCLjk/9GF6QHkpHbsThZifD7v3Blm/eviJP7ryEJX754XhYojLDAVbEsyi2ru6c379L5wIsMSEev60rObt9OynJSTTvUIJxY2pjZ20idGkf6elB6heGEL9FIpFQpbIHVSp7EBISzYrlZ9m50Z9Vf0xgu/V8ileqTo16LbGxdVJT1TnDyVNH2bF0JkplCvXGDKVWmwaC1iMGmOgzBiZGpCWnkJCQgIFB5o4P0ZSI2C+EUlr664650n9RBb3fwsZK8eWH41aKzH0yL1u1EbtXz+DBnbu4exbK1D00SZmSwvH9mzmycT2x4RHUaFiU3ybUJW9uG6FL+y+9zydxZJSNjSnDR9RhyNCaHDt+nzXLz3Jm73ZO7d5GPi9vKtVuRPGSVXWuVyakuLhYli6awd3Th7AvUoTO00fj6Cr8hwExwESf+edU5mitDzAL4y+Ekl7660aGxsiNTAgLTV8LZibXp56r0X+egWW09/VBzRr1OLh1CYd3bMbdc1xWvxW1SVUquXzuMH6rlhP68hUlKuZn8qQOlPDW3ll7+np6/PAY4jdIJBJq1vCkZg1P3gVFsXzpaXZtCmD5tHFstZ1Pico1qFGvFZZWdllvLBu7ej2A9fOnEBcRSsWeXWnSs73WhL8YYGoWHZdKRHQqFqb6mBpp55j2p4zfB1hMTDS2trYCV/Ntpob61ChmxJEbcaSlpYdXDS+jjxM5jCytCQ/9ZzGzj42CfGYywhKVWCkkmQ4vAAO5giKla3D9rB8x0VGYvN/JX5vcvXmJncsW8ureA/IXcWbOn12pW137e4uZGUL8Hns7M0aPqc+IkXU4dPgOa5af48TOzRzfsZkC3r5UqtMYH99K6Otr/8+opiSnJLN25SIu79+Kea5c9PpzAQWKan5W6reIAaZGtx4lcexy/MdP/NVKGlIkn/APyb8mJSWF5xdvAhD88jV58mj/jgdF3BS42cn+MwsRwNjKhqh/ncxsJtfPUnB9ql6DlgQc38HBXbto3qGjSu6pCi+e3mPbsgUEXg7AwdWamYtb0aGlr8r2K1Q3vSwOIX6LRCKhbp2i1K1TlNevI1i29DR7Nl9h6W9jsLCzp2TVmlSv0xILSy0cWtWgR08CWTF7IqEvHuPdoilth/dEYaB9v7vEAFOT6LjUj+EF6SMix/zjcXOUal1PLCE2nqMrNnNp+y6iI4KR6Mu4vusQpSpWELq0H2JqqP9ZcH1gZmPLq5s31Nauq7MruQoW58rhvTRt207w/RFDg16xfdUibp44gamFMSMn16d/j4rIZdox3POj9PX1vjuNXhWcnCwYO64hY/5Xj31+N1m34jxHt27g2Pa/cfcpSeU6jfHyLp+jemWpqals37aB45uXo7Awp/PCP/CuUELosr5KDDA1iYhO/eIEg8joVK0JsKjQCA4uXMvVA/tJiIsmt31BOjXvwpU7AVy6dJJ3z15h7+YsdJmZZm5nx8OoUFJTlejrq+eXeOWaTVk3739cuXyZEmXKqKWN74mJjmD3+iVc8vNDKtWja9+KjB5aAzNT7X6G+VV6kKqJBHtPIpHQqKE3jRp68+JVGMsWn2bv1issnngeK0dHSlatRbXaLTA3V+8ekEJ7F/SWJbMn8eruNfJXr8pPEwdj+v6Udm0lBpiaWJjqf3GCgbmp8OH17ukrDsxbxZ3Tx1GmJFPQpRhNWjbHI3cBAPLnyof/g9Psmb+E7n9MELjazLNydCAlKZHIqCgsLTJ2htePKl+mIjvW23Fi11aNB1hyUiIHtq/m1NatJCXE06h1cSb+WhtHe3ON1qFqenqa6YF9SS5nKyZMasyv4+qze/cN1q86z6G/13B0ywYK+paiat1meBYtle16ZYeP+rFn+Z8g0aPJ5NFUaVxL6JJ+iBhgamJqpE+1koYc84//OMGgWglDQXtfT67d4+DCVQQGXEBfT0KxfKVpVr0ZLnafT4e1MrfA170ily+e0OlemK1T+oGIr16/VFuASaVSfCvU4/S+tQS/e4etfdYP0PyeVKWSU4e2c2jDWqKCQ6hStzCTJtSlUAH1t60J+vo/sBWHmkmlUpo1K06zZsV5+jSEpUtO4bf1GvPHncXG2ZlS1WpTrXYLTEx0+8NCRGQEyxf+wcOLJ3Au7kPn6aOwddCdWZligKlRkXxy3BylREanYi7gLMSbxy9wdMlant+7gYHcmApFatGsRhMsTS2+ek3r2i0J0PFemINr+lZC796+pohnUbW1U69eM874rWf/9q106tVHbe0AXLlwlD0rlxL89DnFyuRl4rpWlC+VR61talr6LEShq/hH7tw2/DalGePGN2LnzqtsWHWB/etWcmjTOgqVLEO1us0oVKSk0GV+V2R0FPce3ubRo/u8fhpIyMunxIQEk5acTPWBvajXuYXWTI//UToVYKmpSqFLyDBTI2GCS6lUcnH7IU6t/ZugF48xNbSkXpmWNKpSH0OF4XevtzK3/KcX9vw19lqwaDGjbB1s0dOXEBLyTq3tWFtak8+rHDdPHCCl+y9qOULiwZ0r7Fy+kOe37pDbw5FpGzvRuK76QllIeqhvFmJWyOVSWrUqSatWJQl8FMSyv06xf/tV/jx7CrtcrpSuXocqNZtgbCxsr0ypVPI66DX3H9zh2ZMHvHn+iLAXz4gLTl9SoieRYOLijIWrCxHPn1Lylw407NZa0JozS6cCbNmvU+j5+0TkCu2bzqktkhOTOL56Oxc2byMi9C02Zk60rt6NWmWrIZVk7D93qw+9sHlL6P7HePUUrEZSmQxDM0vC1BxgADXrtmThbyc5dfQI1erUVdl9X78IZNvyBdy/cAlbJwumzm1O1/aldGZKfGZER6WRouUfVvPns2Pa7y2YMKkx27YFsHH1JfasXsKBjavxLFWWavVaULCQj9rrSExK4sGTBzwKvMfLpw959/wxES+fkxwbA4DU2AhzNzdylSmBs3sB8hb2IG9BdwwUCk4dPcqL0+coWb2i2utUF50KsKdnzjOzW196zZ2OhZV6nmnoqtiIKA79tYGAvfuIi4nAxSYfLRsNomyxkkgyOQPP2twS3wIVuHzxOO+e/6KTvTAjK2siVHwy85f4ePlg5ZyHc347VRJgYaFB7Fy9kGtHj2JsYsCQX2sxsHdlDA3Ue0Cg0M6cDOTG9XAkEn1ePg/DxVW7Z/4pFDLatStDu3ZluP/gLUsXn+LgzstcP30Ce7fclKlelyo1m2BomPW9JsMjI7j38A6PH9/j9dNHhLx4QtSbV6SlpABgaGeLRW43PIvXw9XDnfyFC+Hk6vLVn/8H/leQW5iRzz1flmsTil6aNvbV/yUqKgpzc3N+6jaGDRtmo7A0p/u86bjmzV5j/5kR+vodB+av5uaxIyQnJZDfsQiNqzSjaAFP1dw/IowR8wdQsHRlneyFzRk4gti3QUyZsVLtbe3YvRm/9X8yZMEa8uTPn6l7xMdGs+fvZVzYvQf0UmnbpRS/jqiFhfn3h311XUJ8EuVKziYuVo+omEiq1fRk0bouQpeVYfEJSWzZ7M/fay5x98oT5IaGFC5djur1W5K/wPeHfZVKJa/eveTeg7s8f3yfN88fE/7yGXEh6Yvy9aRSTF2cscqbG8cC+XErVBD3Ip5YWFhkqM6J7X/C2N6aYQt+z8y3mSEJMbGMLFufyMhIzMxUt2uNTvXAyhUug9PAWcz9638s7NKHNtPG4122lNBlCeLFvUccmLeKBxfPQhoUyeNL02rNyeOk2j3urC2sdLoXZm5rQ9CDuxppq1bN+hzevoyD27bQc8SoDF2bkpzEoV3rObF5EwkxMdRr4c2ksXXI5ZxzRhrGjtrLi1ehjOwzlau3LnLowC5uXHmGV3E3oUvLEEMDOZ06laNTp3LcvvOKZX+d5vCuC1w9cRTHvPnSe2XVG6EwMCYhMZEHj+/z+NE9XjwNJOh9WKXEpR8qKzU2xiK3G67lSuHsnp98np7k8SiAIovn0EVHRxEZ+IQi9aqq4lsWjE4FGEAhV3fGD5nP9L/GsG7ASEJGDKJG84ZCl6Uxd89d5fDi1Ty7dQW51IBSHpVpXr0ptmrc+qZV7ZYEPDyjk8/CLOztiY8KJ0WZjFSi3uE3Y0NjPEtW4875Y8TG9sfY2Pi716QqlZw7vocDa1cR8TaI8jU9mDyxLkUL6dYHhay6dO4xq9dcpFKpGngW9CWPmwdn/Y8xefRuNh/oJ3R5mVbY05nZf7YhblpT/t54iU1rLrNj6Xz2rl2GwsKC2OBg0pTpz/sM7eywzONGkZKNyFWwAO5FC+Pg7JjpRwDfcs3fnzRlKl5ltX/25LfoXIAB2FvZMXnwXKYvn4Df5N8JefGKVv1/VttuC0JTKpVc2X+KEyvW8+bJfYwNzKlRojGNqzTE1Ej95zh91gt78Qv2uXTnl6uNoyNpaam8ffcWF6dcam+vbv2WXD+1hyP79tK41bdndl33P8WeFX/x9tETCvu6sWz5L1QpX0DtNWqbxMRk+vTahqW5Ne1b9gXA0MCYBtVasHH3co7uv0l1HZ9xaWSooGvXinTtWpHr15/Tp9dGgl9HUaZ7Z/J4euBexBMzc83NXnzgH/D++Vfmhrq1hc5OZTJSGPJrj8mUrNKYS6vXs3D4eJISk4QuS6VSkpI5tno7U+t3YOOvY0kIDqdZ5Y7MHryADvXaaiS8PmhVuyV66LNn7hKNtakKdi7pYfvmzWuNtJcvdz4c83vhf3DPV9/z+MFNZo7oydIxI5ERy8LV7Tl5tG+ODC+Aif/z4+nzYLq2GYChwujj67WqNcfO2oFp4/xQKrV7VmJGFCvmSs3GnigTE2napQMlypfVaHgBvLp+G9uiHjq37uvfdDbAAKQSKf1aD6BBi148OXGaWd37ExkeLnRZWRYfE8ee2SuZWKsle+fMRpEsoXO9PswcNIfGVRqgUMM6o++xtrCiRIEK3L14nKCXbzTefmbZ50rfRSQoSHM1V6rRmPCXj7nm7//Z6+/ePGPR5GHM7t+TyDfPGD+jMZcvDqZVY2+N1aZtrlx+yvIV5ynvW5WinqU/+3dSiYzm9X8iMPA1m1ZfEKhC9ShSxBllYjKvnz/WeNsxMdFEPnxMnhJeGm9b1XQ6wD5oVb0lXX8eR/ijx8zs2JMXj58KXVKmRASF8ff4OUyq1Zzja1ZgZ2hP/1ajmNbvd6qWrKSWsfCM+KcX9pegdWSEhZUFUoUhIcFvNdZmlYrVMTS35vjubQBEhoewZu5kpvzckSfXr9B3RHWuXRtO3+4VkEp1+xNwViQlpdC7x1bMTCzo1Kr/F99TrmQN8rgU4M/ph0iIzz4jLB8OFH16XzMTjD519f3zr6JltHeX+R+VLQIMoHKxCgwdMIvUuEQWdOnD9Qv+379IS7wJfM6KgROYUr8l/nt2ks/OgzGdpzKuxzh8C3kLXd5HH3phdy4cJ1iHemFGFp8fbKluUqkM7/J1eOx/lg2L/2Bi19ZcPXKYVj+V5Mq14YwbWRsjQ3Ex/m/jDxD4+B2dW/XF0PDrE17aNO1OUHAEi2Yd0WB16uXiYImhuSGvAx9pvO0HlwOQmZuSv6DuD1lnmwADKORWkAlDF2BmbsPa/sM5un2v0CV906Mrt1nYbRgzWnXk/tnT+OQry2+9ZjO88zDc3bTzMMkPvbDtsxYJXcoPM7ayJios+PtvVKEa1Wsjk0s5t2MHlWu7c/bSYObNaIaNleaeW2qza1df8NeSM5TzqYSP17fPnfN0L46XRwlWLD5NWGiMhipUL4lEglM+G4IePdN426+u38IuGzz/gmwWYPB+huKQubgV9Gbf5N/5e+5fWreH4rXDZ5nVuhcLuvXk1a1bVC5WlxkD5tG3TW+cbLR7R3FzUzPMTGx5fP0SyyZMIyE+QeiSvsvUxpaYyFCNtnn2yGJQJrHy745sWNmBvG45+4TfT6WkpND3ly2YGJnRqc3AH7qmXbNfiE9IZMaEfeotToPyetgR9vSlRttMf/71hNzZ4PkXZMMAAzBSGPFrz98oUakhl1auY/HIiSQLPEMxJSWF03/vZWqDTqwZPpLol29oWK41swcvoEvjTljoyLEMK/dsICzyFa75vLh9xI8p7Ttxy/+60GV9k7mdLbFRmguwe7cPc/zAOQYNL03DOtnjF4UqTZt0iHsP39CpRR+MjX7swERnxzyU9anCtk2XefZYs71pdXH3dCD6dTAJ8XEaa/O6fwBpSmW2eP4F2TTAIH2GYv82A6nfoiePjp5g5s/9iRJghmJSQiIHFq5ncq3W7Jg+Hb2YJNrV/JlZQ+bSomYzDBW6c2rukUunOXPdjzIVmzNi7O8M/HUB+mn6LB/Uj3Uz5pGcpJ0P2a3sHUiKjyE6NlrtbcXHR7Ju6Sy8vK0ZOKCx2tvTNbdvvmLhwtOU8ipPSZ/KGbq2VZP0tZ6TR+9WU3WaVayoC2mpaTwN1NxEjnv+AcjMTCng4a6xNtUp2wbYB62rt6Lrz+MIe/iYmZ168fLJc420GxMexbbfFjChRnMOLV2MhdScnk0GM63/H9QuVwOpvm6tIX/4/Al/H1mGa55idO6ZPmOssGdRJs9cTfFKjfDfuYkpHbvy8PY9gSv9LxuX9IMt37x+pfa2dv49mfCwGOYtbINMpvvPGFQpJSWF3j9vwVBhTOd2gzJ8vaW5NdXLN+DY4ZtcufhEDRVqVvGi6TMRXzy4r7E2X1+7ia1XwWzx/AtyQIABVPauyNCBs1DGJrCgSy9uXgxQW1shL9+wdsQ0JtVpzrltm3G1zM3wDhOY1HsyZYuVFnwqfGZERUczb+tsDI3MGTDyN6TSf8LXQK6gV6+h9Bg+i5S4eBb17snmBctIeb9Dtjawc05fzPz2nXpnTt67fZjjB88xaFhpPAvlVmtbumjmtKPcvveKDs17YZrJM7Oa1O+IqYk5v/3v6wvFdYW1hQnmDua8DtTMWrCYuBgiHj4ht2/2GdbOEQEG4OlWkPFDF2BiZsPqfsM4ukO1D4Of3XrIXz1HM61xO24ePUQRV18m/PwHo7uNpnA+D5W2pUlKpZJZm/4kNiGCnoN/w/wrO16XLF6KyTNWU7hkdc5tWMn0Lj148eipRmv9GgcXJ0CPYDUuZhaHDr/t7p03zJ17Et/CpSlTonqm72MgN6JB9VZcCXjEwT3a/ez1R+RytyH4sWZmIt647J+tnn9BDgowAAcrOyYP+hPXgsXYN2k6m+YtzfIMxdun/fmzQ3/+7NiNp1cCKFe4Kr/3ncvA9v1xc3RRUeXCWbl3PU9e3aRF+yG4exT65nuNjU0YMPBXOg+cSmxIMHO6d2X3qg2CbwOkMFBgYGpOqBoPttzx9yQiwmLFocMvUCqV9Pl5C3KZIV3bD8ny/WpUaYa9jRPTx+v+FlP5POwJf6r+oW348PzLBPdCBTXSnibkqACD9B3Dx/acgm/FBlxcsYbFoyZlePKBUqnk4o7D/N6kK8v7DyL08RNql2rG7EEL+LlZd6wttPsQvh915OJJTl/zo0yFZtSoW/+Hr6tQthITZ6wlX5GyHFu6gJk9+/NG4IXPRpbqO9jy3q1DHD9wnkHDS4lDh18wd+Zxbtx+Qfumv2BmmvXjYaQSCS0bduHJk7esX35OBRUKp5CnI/GhUUSEhai9rVfXbmWL/Q8/leMCDNJnKA5oO4h6zX/h0ZHjzPplIFHhkd+9LiUpmSPLtzClbjs2TZxIUlgULar8xJwh82lXtxXGhkbfvYeuuHz1Mn8fWYmDU0E69xqQ4estzM0ZPuI3Wvf4ldBnj5nV+ScObd6p+kJ/kLGVNdERqv8lER8fybpls/EuLg4dfsnjh0HMmnUc70IlKF+6tsruW7p4FfK5FmT+jMPExyWq7L6a5u2VfkLCkwe3M3RddFwqL4KSiY5L/aH3f3j+5ZaNnn9BDg2wD9rUaEPn7mMJvR/IzE49ePX0yzMU46Ji2DVjKRNqNMdv/lwMUxV0a9ifGQNn07ByPWRqPmdK067cuMJfe+eSnJJAPg/vzyZtZFTNanWY8PsaXPIWwe/PP5jddwgh7zS/jsfM1k4ti5k/DB3OXdAmR+9r+CVKpZKeP29Goi+nW4ehKr9/u2Y/ExwSyfw/Dqv83priVcgZfak+Lx88+OFrbj1JZOW+KLafjGXlvihuPfl+gN/wDyAtJYWiZX2zUq7WydEBBlDVpxJDBsxEGZvA/M69uXnpysd/F/E2hI2/zmRS7RacWr8WR1MnBrX5H1P7TqNS8fI6OaPwe67fvsHCXXOwMLYD0rBzcM7yPW1sbBn960wa/zSU13dv8Eennzi591DWi80AS3t74iJDVborizh0+G2L5p7myrVntG3cDQsza5Xf3z1fMbw9S7F66RnCQnRziylDhRxbN2veBP7YsoDouFSO+ceT9v6f04BjAfHf7Yndu3wFmakx7h7Z5/kXiAEGQOHcHowbMg9jU0tW9xvGrqVrWd5/PL81bMUVv724Oxbm125T+fXnsXgX1O2D9b7l1t1bzN8xE0tjW9q07A2Anb2jSu6tp6dHw3pN+XXaamwc3NgxdQKzBo7g6RPNrOexcnQgVZlCcKhqhhHj4yNZu/T90OFAcejw3548CuH3349Q1N2HSuUaqK2dds16kJiYzLSx2r3v6be4utsQ+uTFD703Ikb5Mbw+SEuDyJhvfzB7df0mNkU9sjSaoo3EAHvP0dqByYPn4pzbk/PL1vPg3GlKFqjA1N5zGNppCPlc8ghdolrduX+PudtmYGZoxa9DZxAdl/6J1sEp6z2wTzk5OjF24nyKVWjI65tXmNOhAxO7dWPHhg2Eq3GnFFvn94uZ36hmxteOvycRGR7L3IVtkWajh+KqoFQq6dNjM3pI+VkNQ4efcrR3pVyJauzcepnHgZo7ceBbgqIkXH1mQFDUj/29KFDIgYhnb1D+wOiAhYkEvX+9pqcH5iZfbys2LpaIB4/J7Zv9PnyLAfYJE0MTxvaegn4aFHIsRq9WPbG3thWsnsg0PR4r9YlM+/dfWdW6//A+f26djomBGf8bMhMLK2uCQ9+hp6eHg6ODytuTSCSEvHmGobkFVQb2R18m5eTChUxs0oTfBw3kyH4/EhJUu0mww/uDLd+pYDHz3fdDh4NHlMbTwy3L91O1d1FSLj8z4l2UMJ+2ly0+yyX/J7Rq0AVLSzu1t9e60c9IpTIm/7+98wyL4mrD8M3uAgsISBEECzZUFDs27L333k0sMYmxa2yJPcZojDFGjV1jLxh7711RrBgrVrAgVVhgy3w/UL+oqCzs7uzi3Ne1FzDMnPPsYZlnTnvfUVuMXten2HHJkY7zfRi8Nhcd5/uw49KnYz36F/dGnZjEs/BP98Ic7WXUDrDD6tUtwcoKapezw9H+w7fyS+dfz3+VT/f7sBSyVn/SANjaKimWL4DrYcFoNBrRutznNQq2amwQsMIKgeaKFMopDB/d4vbdO/y2fhp2NtkYM2Qmbu6pUdOjYp5jZ58da2vD5626dPUSj+9cpsGAITTs2IYWHTsQHh7O4W3b+ffgIbZPnsLu337Dp3IglRo1omz58ple+uuaww2ZwjrTiS1TNyz/Rply7gwc2DxTZRmDfy45M2WXFzrBCpmVwJhGEbQs9ekVtobi4YMX/DRlH8ULlaR2ddMMrTo5Zade1eZsO7Ce4FN3CKhc0CT1vsuzODm/7smB7tUDp06w4tc9OSifPxEPpw/3rsqUeJ3c8hpeufN9sh7//Lb4eFoT+1KLczb5R80L4Ma58yiyOaR7/1d8go6YeB3ZHWU4Oph3H8e81YlEYGBdVJoEzoacE6X+WMHqjXkBCKT+bOie2J2wMH5d+xO21naMHTSDHB7/f1qOjo3EwdE4+9m2bVqOg2sO6rRt9uaYt7c3nb/qy8R1a+i7eAGFG9Tn0YULrBo6lDGtW7N45kxu3sh4nEW5XP4qsWXmNjNvXvNq6PBP8xs6fBqneGNekHoDnbLLy6Q9sW/7bkDQyejTdbjJ6gRo3qgbzo7ZmTxavBBTj6Ot37T9a3SCFY9jPr5K2Td/DmwcbHl063a663K0l5Hbw/qT5gWp+b9ylCySrofxq7fVLN6cyMb9SSzenMjV2+p0axIDycDSoGxARRxsnDl1+YQo9b/QWb0xr9cIWBGlM5yB3X9wn1/XTEEht2H0gOl4eL29WCMu/gWOzobPYXXrzi3uhZ4loFVbrG3S7t35FS9OnxHDmbx1Mx1nTMOrVAmu79zJ3C97Ma5rV9YsXszTJ/r3pBxc3IjNRGLL0Kt7OLQndejQr2jeDJdjLB5E26R5A30YbZrsz0v/OsHJ03do06Q7bm6GH3r+GLY2tjSv14lLl8LYuTnEpHW/JpeLGpnV20ssZFYCubJ/3ATkcjleBdx5aoTQa4mqRKJv3sGn7Kf3f8Un6Nh/OvmtFY77zyQTn5C+vWZiIBlYGigUCooVCODmk2uoNaZ/AnGTCVi9s9bICgFX2bvrjzLGw8ePmL5qCjKZgtEDpuOV+/2QV/Evo8juYvj5v80bl2Hr6ESDLm0+ea5CoaBi1aoMmDKZiTu30Xj0SOzdXTm7fDlT27Xjp6+/ZvumjbyMT1+alGxu7sRncC+YShXLqoWzzHboECCvS0qaN9A8LsZPcxP+KJqJk/ZQtEBx6lRvZfT60qJ29RZ4eeTml4k7RQkm7eGkZWiD52/+BjIrgaENnn90+PA1+YvkICrM8MktL58/j6DWUKLyp+MfxsTr0lzhGBMvGZjFUbVKPZI0iZwKPm3yup2tUue8XpvY6zkwZ6vMG9jj8HB++XsSghWM7D+dXHne70lotVoSEqJxcTWsgT18/JBbF49RpkkL7Ozt9LrWzs6Oes2bMeKP2Yzdupmq/b5CnZzE/pm/Ma5FC2Z+P4KjBw9+NCyYs4cHCbEZW0ZvzkOHr/F00jCmUcRbN9AxjSLwdDL+zbx/v42o1QJ9uo1ALhPntiKXyWjf9Avu33/GigXijJ40KRXP2n73+a3TY9b2u0+TUul7uPL1y0nco2ekqA0bVeT6q/mvIsU+HVA8u6MszRWO2R3N1yakRRwfoGSZcjgqXTh9+STVK1Uzef3lFBoKybVE6axwlQkGMa+IZ0+YtmISWkHL999MJ2++tFfQRUZHodNpcMth2GGgoI3LUdja0qhnp0yV4+rmRpvuXWnTvSv3w8I4sn0HNw4eIuiHH9ju5ET+qlWp0qQJxUuUeGvxh0vOnCS9jEWVlISdMv2JRF8PHY76MdAshw7/S8tSsVTOn8DDaBvyuKSYxLxWLj3D0eM36dS8Fx7u3kav72MElKmOb75izJ25nw7dK+GQzdbkGjyctOnqdf2XEv7e6DRaHt65QcGihgv39PjiFdxLFE7X/Jejg4y6lWzZfyYZQUg1r7oVbc16IYdkYB9ALpdTvEB5Ltw4SlJKCsoPzNcYE2crAWe5YYYNnz9/zs9LJ6LWpTD861/IX/DDK7XCn4YD4OlluJvR88jnhJ47QMnGzXHK7mSwcn3y56f7d/3RfvM1Vy9f5uT2HYQdP86NnTtx8PamSM0a1GjaFB+ffLi/2hLw5Ek4+fMVSFf5ljB0+C6eThqTGBfA0yexjPtxJ74+RWlQp71J6vwUnVr3ZdJvg5kzbS/fT2r26QvMgIDS+QC4f9NwBqZSqYi+eYeKfbuk+xr/Qtb4eMktZhWiZGAfoXr1BpwO3cvJsyepXbWm2HIyTGRUJD8tnUCyJolhX02lkK/vR89/+mqpuZcBNzEHbfobgCZfdjVYmf9FLpdTqkwZSpUpgzolhVNHjxG8Zw8XN27iwuo1uBYpQp4SpQCIeJp+AwtaM5HY6AQ2/dPDbIcOxeS7fhtJStbSp9tw0YYO38U3f3HKFK/EiqXH6dW/Bu6ehntgMhZeOZzJ5p6N8Nt3DFbmpQup81/+6Zj/+i+ODuZvXK+xDJUi4edfEmc7N85etdyUDS+io/lp8UQS1QkM7jPlkzm9AJ5HPUUmV7zZE5ZZYmJjuXhiF0Vq1MXN0/gbw61tbKhetw5Dpv/C+O1bqDtsMAqlLZc2rsdKoWD3rjU8CE87cPN/Cb26h8N7TjPk+0pmP3QoButWnePg4X9pUa8jXp7m1T6dW/VBnaJlqgWFmMpdKAfP7xguueW/54JRZLOnaPFP/89bKpKBfQS5XI6/b0VuP7+OKilRbDl6ExMbw9RFE3iZEsegLyfhV6x4uq6Lin6OQzZXg+UN2rJlDRp1Mo379DBIefrg6OREk7ZtGfXXPL7fvIkynToR+fA2k4d147c/JxHxgY3Nr4cOywa4M3CgZQxDmZLnz+IZO3onBfL40rh+Z7HlvIenRx6qlq/L1s3B3L6Ruc3rpiJ/kRxE3zdccstHF6/i7p++/V+WimRgn6BGjYaodSkcOyPOqqaMEhcXx5SFE4hNjmZAj/EUL5H+cfWYuBdkczRM9HCVSsW5w1spWLk6uXzEzVCd0ysn3b7txw+bNlCmXTtunjvC+MGdmLNgGpHv7A97PXRozqsOxWTQt5tISEyhr4irDj9Fuxa9sFHYMnnUVrGlpIuixbx4+SSKl/GZj5yiUqmIvnGbfGWzXvzD/2Kenzwzomgxf1wdPDkXavrl9Bkl/uVLpiycQLTqBf27/UjJ0mX1uj7uZRSOzoYxsK3bN5CUGEej3qbvfX0IR2cnug3qz+hN6/Fv1oyrx/cwdlBH5i/9jei4GEKv7ObwntMM/b4SRYuY19CYORC0/gJ79l2jWZ125PLKJ7acD+Lo4Ez9Gi05cvgaZ46nP8qFWJQqmfqAd++Gfskt0+JyyAUEtYbies5/GYuExASjlCsZWDrw963I3cgbRvsjGJKExAR+WjCByMRnfNNlLGXK6R/A86WBNjGr1Smc3L+JvGUqUMDv4wtHxMDF1ZUvRgzh+/VrKVyvHiEHtjB6QFsWzp5OmQB3BkhDh+8R9eIlo77fTr5cBWjasJvYcj5J0wZdcHF2Y8oY8UJMpZeyxfNgJbPiwa30J7f8EP+eTZ3/8vMvZgBlGUOr1RJ8+jR/fP8DU5oaZ/GWZGDpoFatxmh0ao6ePiq2lI+iSkrkpwUTeZYQQb+OowioUEnvMtRqNSpVDK7unpnWs3PPVhJiImnwZc9Ml2VMcnh60HfsSIauWU2BSqWxUUL3L8pLQ4dpMPi7IOLik+jbbbhFtI+ttQ0tG3TmypV7bN0YLLacj+KYzQ7X3C5E3L6b6bIeXbqCe/H07f8yNI8fPeTv2X/yY5NOrOwzkvDz1/BvXdcodUkGlg4KFi6MezZvzl0332FEVZKKn/6aRETcI3q3/Z6KlatmqJyIZ08RBAH3TG5i1mg0HN29Hi+/khQLMNzGTGPindubvpN/BpmC4yfMf8jJ1GzdfIkdO6/QpFZr8uQqJLacdFOjSlNyeeZlxqTdooSY0oe8vu68uJe5kFJJSUlE/5u++IeGIjExgd1B//BTz2+Y3rg7ISv+wcO/IJ3njefnA2vpPuhro9SbIQObO3cu+fPnR6lUUq5cOY4dO/bBc4OCgqhXrx45cuTAycmJypUrs2fPngwLFouSRStx78Vt4uLixJbyHkkpKfy8YAqPYu/zZevhVKlWI8NlRTxLzZflmTNzmZgPHtlP7PPH1O7ZPVPlmBq5XEHpehXYu+MeiSrDhvWxZGKjE/l+2FbyeuWjRZMvxJajF3KZjPbNv+Thw+csnWveoygFi3oSHfY4XcktP8TlC+fRqdVGn//SarWEnDvHnDHj+bF2W3aPm4U2OZk6o/sw+ch6hs2aQpWa1VHIjdcL1NvA1q1bx6BBgxgzZgwhISFUq1aNRo0a8eBB2vtqjh49Sr169di5cyfnz5+nVq1aNGvWjJAQcSJGZ5RatRuhFTQcMbNhxKSUFKYtmMyDmLt80XII1WvWzlR5TyNTlxx758r4JmatVsvBHatxz1+YgBqVM6VHDMo2aE18rJptO8+ILcVsGDpwM9ExifTpOswihg7fpWzJKhQp4M+83w+REG/YZKmGpFhxL5LjEojKRN666+fOo3Cwp5i/cfZ/RYQ/ZtWf8xnXvAvLvxzOo1MXKd66DoO2/sXEDQtp3bUjzs7ORqn7XfQ2sJkzZ9KrVy969+6Nn58fs2bNIk+ePMybNy/N82fNmsWIESMoX748vr6+/PTTT/j6+rJt24cnVZOTk4mLi3vrJTY++Qvi4ZSH4Bvmc1NTa9RMXziVe1G36NZ0IDVr1890mZHRz7C2VuLs4pLhMs6cO0nk4ztU75r+EDbmRK5CZchTOAebNljWQ5ax2L39Klu2XqRhjZbky5u+pIjmSOfWfYmJiWfW1N1iS/kg/09uGZrhMh5dfDX/Zf3xPGT6kJSkYt/Wrfzcuz/TGnXl/JJNuPnmpcOcH5h2cB19Rw/B9xMRfoyBXgaWkpLC+fPnqV//7Rtl/fr1OXkyfdEqdDod8fHxuLp+OFni1KlTcXZ2fvPKkyePPjKNRqligTyIvkNMbLTYUtBoNExfOI07kdfp3Ohb6tZvZJByo2Myn8hy15aVOHvnJbBhLYNoEoPS9apy7EA4kVGmy2ZsjsTFqRg6ZAu5PPPSpvmXYsvJFAV8/AgoEciqZSd5EmGef9dihb1Q2Cp4ePNWhq5Pnf+6Td5ymd//pdVquRxygbk/TuKH2m3YMWYmyXEvqTX8SyYeXseIOT9TvU4tFArDGaW+6GVgkZGRaLVaPD3fXqHm6enJk3QmGPz1119JSEigffsPB/4cNWoUsbGxb14PHz4EIFaj465KS6xGnPw0tWs3QidoOXjysCj1v0aj0zBj8XRuPrtKhwZf06CR4YLMxsZFks0p43vAQi5dIOLuVQI7dDRYJA8xKFO/HRqtwPqNlrWB3dCMGPQPkS/i6dN1KAq5eDcqQ9Gx9VdoNDp+Hmuem5ttrBV45M94cssrISHo1Gr8K2Z8/uvZs6es/WsR41t1Y0n3Idw/co6izWryXdBcJgctoW3PLri4ZM9w+YYkQ7NrVlbvZAsWhPeOpcWaNWsYP348W7ZsweM/6evfxdbWFlvb99MgzAlPxspWjhXQws2Gco6mXSKaK09evLLnI+TmWVo3Eidpn0an4bdFv3L9yUXa1elLk6aG1RH3MgrP3B+OVP8ptm9egYObB7VbNzagKtPj4ulDkXI+bN50hW/6WvZ7ySgH9lxn0+YQGlZvQYF84u0nMiQebl5Ur9iA7Vt38fW12hQpbriA1YYiX2F3blx/mKFrr587h8LejmIl9ft7JSencHz/fs5v3UvEmcsgsyJ3ldI0HNiTKrVrYG3A4UhDolcPzN3dHblc/l5v69mzZ+/1yt5l3bp19OrVi/Xr11O3bsb2BPw31fWWFymi9MRKFwvkYcw9IqMylhgxM2h1WmYvmcXViAu0qvklzVu2M3gdLxOiyO764YeLj/Hvzevcvx5MhTbtDDr+Lhal6tcm5Ewkd+6Fiy3F5LyMT2LQwM3kdPemXcu+YssxKG2bf4HS1o7Jo81zc3Nhv5zEPHiCJgPZ4B9evIqbHvNf165eYf6En/ihTmu2jfyFxMgoqg3qxviDaxg5bzo1G9Q1W/MCPQ3MxsaGcuXKsW/fvreO79u3j8DAwA9et2bNGnr27Mnq1atp0qRJxpS+gwBEqQ2TK0sfatVtDAgcMvEwolanZc7y2Vx6fI7m1brTuk3mkkKmRaIqkeSkl7i6ZczAtmxagdIpO/U7tTawMnEoWbMNNko5q9ceF1uKyRk1bCtPn8XSp8tQrEWc4zAG2eydaFijFcePXefE4Rtiy3kPf/9caJPVPH6g34bm1PmvW5+c/4p8/pwNi5YyrlU3Fnb6jrv7T+HbqArfrp/NlC3L6NC7B+4GykRhbPQegxsyZAjdunUjICCAypUrs2DBAh48eEC/fv2A1Pmrx48fs2LFCiDVvLp3787vv/9OpUqV3vTe7OzsMrXU0gpwtf70sKWhyenljbdrAUJun6MdbU1Sp1anZe7fc7nw4DRNKnemXXvDhfCJ1Qi80Ai4Kax4/jT1b5PDU/89YA8e3uf25RNU6tgdpV36sx2bM/aO2fGv6seWjf8yeoTObIPWGpojB26wbn0wdao0wbdg1gwG26R+Jw6f2sWUsdvYdqSQWc3XBpROXYl4/8Z1fAqkf9XnlZAQdClqild6f/5LnaLmxMGDnNu6h/BTl0AQyBVYijpfd6ZqnVrY2po+Ya8h0NvAOnTowIsXL5g4cSIRERH4+/uzc+dOfHxS09NHRES8tSfsr7/+QqPR8O233/Ltt9++Od6jRw+WLVumV91W//naws0GZ4U4N5Sy/lXZfnQFT549JadH5kMufQytTsuC1X8RfO84DSp2oGNnw20iDU7QsiVag0BqmxZ7mTpkkdM7F3EpOqKStbjaynGy+XQ7B21cgbXSjsY9zCMrr6Eo3aAhS4bPIDjkJhXLFRVbjtFRJSYz8LvN5HD1pENr40RPMAesFda0atSVRWtmsXX9eVp1qiC2pDfkzumCnZMd4bdugx6Li68HByO3V+Jf8v9pk25cD+XIpm3c3nuclOh4nArmIrB/Z+q2avLRdQiWQoZWQXzzzTd88803af7uXVM6fPhwRqpIk/7etqgUtrhaW4lmXgC16jRi+9G/OXz6EB2bdzRqXYvXLub0nSPULdeGrl17G6zcWI3wxrwgdUj2mnNe5I5uvLDzYM3V2DfG1iSvPWXc319U85qnz58SGnyA0s1akc3Z/LPf6oNfpcY4usxh3brTn4WBjRmxjfAn0Yzq/zO21pb5VJ5eqlZqxJ7D//DrT3to0qYsNjbmkTdLLpfj7evOs7ufTrr6Xx5dvIp78cLExcdxaOsOrmw/QMyN+1g7OVCofmVqtG1KiVKWEdYtvVjUmIizQkZ+O7mo5gXg7uFBHvdCXLxt3OCgS9Yt5sStA9Qs3ZwePfsZtOwXGoH3ZhCtZDj4lGbvU+1bxrbjQSJxKR9eMBO08W+sZDKafmmciNNiorC2pVSdMuz45zZqTcbD+1gCJ47eZuXqc9SsWJ+ivmXElmN05DIZHVr05vHjSBbPOSy2nLcoUMSDKD1iIiaqVERe+5eEyBdMrtuB478tw97NmRbThvHzkY30nzQ6y5kXWJiBmRNlS1YjIv4hj8ONs0JtxcblHPl3L9VKNKFXr+8MXr6bwor3ZhB1OpR2ju8ZmwBEJad9846JjeHSyd0UrVUflxyGySFmbpRt2IIXz5LZe/C82FKMRpIqhQHfbsItuzud2/Y3Wb2xGoG7STpiNaZfkAVQqnhFihUqxYI/DvEyTiWKhrQoXCwn8eHPUak+ncJJq9WyYsZ0bFwc0SWnUPGrdow9sJIxi2dRv3ljlMoPj55YOpKBZZDadRois5Jz6PRBg5e9KmgVB67tpHKx+kYxLwBnhRUtXBRvzSvqzgZhp4p5z9isAFfbtCe5N29ejU6rpklvywraqw8+xQLxzOvMxnXmnY4jM4wbvYMHj17Qq9MgbG1Mc8MLTtAy40kKSyLVzHiSQnCCOD3cTq37EhefyK+Td4lSf1qUKpEbQSdw/9b1j56n0WhYMHkiN7fsJaBTU37et5qu3/YhZ87MZZOwFCQDyyDZXd3Im6Mwl8IM+1S+dsta9l7ZSoUidfiq7xCjro4KcJAzLKcNX7pbMyynDfGX9uKstKVJXvu3jK1JXvs0F3IkJCYQfGQbBQNr4JXH22g6xUYmk1O6fiD7dz0g7mWi2HIMztlTYSxbcYbq5etQvKj+CVAzQlpzsFuiNaL0xPLlKUz5klVZ8/cpIh6LHyYOoOyrmIgPbn54mb9GrWbejz9ya/tBao3sTZevv0QuM5/VlKZAMrBMEFCqOs9ehnP/0X2DlLdh+0Z2XdxMuULV+ebr4SZZ2uussKKAUoazwoqEhCiyu+agjLstA/yd6eabjQH+zh9cwLF16waSVfE07tPD6DrFpmyDNqgStfyz9ZTYUvRCq9ORlJxMTEwMEeFPuHM3jKvX/iU4+BLHj51l186j9O21huyOLnRpb5zeflqkNQcrvDouBp1a9UXQwU9jzCPElFv2bDjndCbiTliav09OSeGPUSMJ23+MBj9+S9senU2s0Dwwj2U3FkrN2g3ZvH8xh08dpke7zN3Eg3ZtZvv5DZQuUIXv+o82+b6U6NgY1Ook3F5lYnaykX10+XxySgqnDgSRL6Ay+QpnPPSUpeCRx48CJbwI2nCJ7p3rZKqs5JQUklQqEhNVqJKSSVIlo1KpSFKloEpKRpWY8uq4GpVKTVKSGpUqhSSVmqQkzX9eWhITU78mJ2lJStKSpNKSlKRD9eprUpIO3ScC1jhls6e0XyXsbO0z9b704fUc7H/tyurVcTFwc/WkZqWG7Nq+netX6uBXIrcoOv5LnsLuPL/7/sNxUnIyc4YPJ+LMRZpNGUzDlk1FUPd/4hN0RMUJuDpZ4ehg2j6RZGCZwCm7M/k8/bh87wKQcQPbuncbW86upYRPJQZ+N1aUTZXhT1MTWXp4pm8ocOeuf0iMe0H9Lz/+vuNVOmJeasmeTY6jnWV3+EvVq8E/s9by05S/UShINReVBtVrQ1FpUKlSDSUpSUvyGxPRolLpXh3XodVjqkehsMLOToZSKUOplL/5amcnR2knR6mUk8PNFqWdAjs7BUqlAjs7a5RKa+zsFNjZ2WCntEk9ZmeLndIae3slSqUN9nZKlHa2jB5xgF17j1A5oA7+xUyzH+r1HOx/9yG2cFHgLJKBAbRp9gUnzx9i4sitrNmR9jYhU1KwqCd3Nl1961hiYgJ/DB3Gs5BQWk0fQZ1GmU+hlBku39Sw51QKggBWVtCgsg0lC5vOViQDyyTly9Rg7a453Ll3l4L5Cuh9/c79Owk6tYriecozZNA4FApx/iRPXiXQy+n9aQPTaDQc27MB7+Kl8Svj/8Hzrt5L5kBI4psbVJ0y9vjns9wVUe4FSpDdbTNz51zBwV6BUilLNRKl7I2ZKJVy3FxSDUWpVGCnVLwyF+v/G4vSOtVY7G1ffW+LUqnE3s4GO3sl9nZ2KJW22NnZY2Nj/DBOi5Z0pmqVP5j/9y9MGjEXFxfTbHANcJDjayt7EwlGTPMCsLfLRqPabdiwfRlH9odSo664AYz9inmxZcFJYqIiye7qzsuX8cweOJiof+/QftYYqtepKaq++ATdG/MCEATYcyqF/LlkJuuJSQaWSWrUrsfGPX9x+PQhvQ1sz6G9rD+xgiK5yjBs8ATRzAvg+YunWFlZkdPr06uXDhzaQ9yLcFqMHPbBc+JVujfmBalDRQcuJuLjaW2xPbGbl64SH6flfthEHB2yRrgsAHsHW9au60bNWnP4fdEExg753ahp4P+LsxkY139pXLc9h07s5Kex26laq4ioIaZKvRrGDLtxlQLFSvPHdwOJDXtElznjqFT1w7FnTUVUnPDGvF4jCBAdJ+DoYBoNlnknMSMcsjlSwKs4Vx7ol733wNH9rDm6FF+vkowYMln06O1R0c+ws8+O9SeiL2i1Wg7uWEOOgkUpW63iB8+Leal9f5JeSD1uqdw+F4Jf2dxZyrxeU7iIJ7/PbMXdBzdZteEPseWIhkJuTevG3bh58zFBq8+KqqVUsdzIFDJuXbrE71/3J+5BOD3mTzIL8wJwdbLi3SxaVlbg4mS6BxLJwAxAhbI1iVY958at9EW2PnT8MCsPL6GAZzGGD52CtQmGiT5FdNyLdCWyPHn6OC8iwqjRrctHz8ueTf7+fjKr1OOWSGJCPE+u3aZ6zfxiSzEa7TqWpVfPyhw4sZNTZ/eKLUc0AivUxydXAWZO3Utysv4pTQyFna0NrrlcCF67g4Qnz/lywU+Uq5DxRJWGxtFBRoPKNm9M7PUcmCkXckgGZgCq1ayLtdyWI+cOf/Lco6eOseLgAnxyFGbksKko00jcKQZx8ekzsD1bV5I9lw+V6tX46HmOdjLqlLF/68Ndp7S9xQ4fXgs+gVatoUWDrJHY8UP88mtzypTMy9L1cwiPuCe2HFGQy2R0bNGHJ0+iWPC74QMV6IMyuxKFgy1fLZlGqTKlRNWSFiULK+jXVknHBrb0a6s06QIOkObADIKdvT0Fvf25+vAiWp02zc2Eao2aoF3/sOtCEPY2jri4eLFkxVzkcgUKhTUKuQKFQoFCbo1CoUAuV2CtsE79nUKBtbU11gqb1O9tbLBW2GBtrcDa2gYbGxtsrG2wtpan/mxri1wuR6ZH+o/4l1Hk9PH96DnBIed4ci+UpsNGpmtuwD+fLT6e1lliFWLoqdM453CkfMm8YksxKgqFgjXruhEYOJvZiyYw/vs/UdqYbnm9ueDvF0DxwmVYNPcI3ftUxdnFRJM6/2HTzmAeXXpMu+kD8Ctuvg9Ojg4yk815vYtkYAaiUvnaLAuazr83b1C86P8/bKokFVv3b+fY1f3EJ8fgrMyBXCHn7qOraHUadIIWrU6LTqdFp9OgFbQIgiEyTVshl8mRWcmRyeTIZYpXX+XIrBTIZXLkcgUyKzlWMhkJCVE8CQ/jzMkTlC5XPs38QDs3/022HDmp0TL9OR4c7WQWbVyvuXf+MuWr+iCXW/57+RRe3tlZvKg9bdovY9GKX+jfe7zYkkShS5t+jJ32Nb9O2sXEmabJ/fcajUbDzEm78SzhQ7XGzUxatyUhGZiBCKxWi9Vb/uBo8BGKFy1GbFws/+zbwqkbR1CpX+LrXZp+DTtRsmTpT5al0WpQq9WkpKhRp6SgVqeQok5BrdagVqeg1qhRq9Vo1GrUGjUajQaNRk2KRo3m9c9aDRq1Go1WjUarQatNPUerTf2dVqdBo9Gi1WnQatX45CrNo4hQFv4+AoW1Eu88fhQpVo6AilXIV7AgN27f4MGN89Tu952oqyXF4Mmje8Q8fErd781j8twU1K5blBFDajN1+j58D66nQe2slectPeTxLkCl0tVZv+YkfQfVJndeV5PVvXDVUcJvPKfv0kmfXXgoffi87kRGRKlU4pu7FFcfXmDeqvlcCDuFRqemuE8FWjftTKFChdNdlkKuQCFXYKe0M6Li99Fo1Fy+cY0LV85x894lDuxcyr7ti3BwdEOmsEbp5EL9jq1MqskcuHTyCFYyK1o2KP7pk7MQI0bV4dzZB6zbtowCPn5ZNjvzx+jQsi/nr57ip9FbmLvScMlkP0ZCYhILfjlE/mr+lKpUxSR1WiqSgRmQ4n4B3Hp0mbO3j1K2cHXaNO9C7tx5xJaVbhQKa8oWL03Z4qUBiHsZz9mLZ7n073nCHt3ASpeEOikZ2yycniEtbp4JJp9fTrw9nMWWYlLkcjlL/+5MYKXZzFk6hcmj/sLR4fNqA1eXHNQKbMye3Vu4fOE+Jcv6GL3OmXP3Evssnt7zDZsDMCuS9Qf0Tcjd8NvoBC2Ths5n4DcjLcq80sIpmyN1q9ZhaO8RDOgxEnWSiqUjJ6LVJxaShaNRq3l06TpVqucTW4ooODvbs2p1FxKT4vlz0QS0nwqsmAVp3bgHDvaOTBm9zeh1PY+KY82fJyjerDL5C5vvwg1zQTKwTKLVajkecpKRvwzgwrWDKJWOeHh4ii3L4BTO70uLBl9y9+Ipdi9aI7Yck3HzSjApL1U0buAnthTRKF0mD9OmNOHa7SsEbVkothyTY2fnQNPabTl79hYH91wzal2Tp21HnaylzcCvjVpPVkEysAyi0WjYfWIvw6d8xYIFY0lQxVKhcVteJkaxZN0CseUZhZb1WlK8cCCHVizi5oWrn74gC3Dl5AlsHWypV+XjWwyyOl/0CaRDm7JsPxxEyKVjYssxOfVrt8HDLSdTf9hutBGIW/eesHPFeQI618UjZy6j1JHVkAxMT5JSUti0L4jBE3qyeuXPYKug3fDxTFyxmi4Dv6NivbacDtnJ+Sv6hZayFPr3HIpTNndW/TCOhNh4seUYnbvBFylVKQ+2NtJ08Zx5bShSKCcLVs/k+YsIseWYFIXcmjZNenD7djjrl58xSh0TJ29DobSh1Vd9jFJ+VkQysHTyMjGBv7euYNAPXdgSNAeHHB50nzCDcYuWUb1BfWSvlrq2H/QtLu65WbbhN1RJKpFVG55s9tn4uvsoEmJesGz0ZLHlGJW4mCie37xPrVqFxJZiFtja2rB2bTdkMh2zF45HrREvzJIYBJavS/7cvsz6xfAhps5cvMOJf65RtU9LsjllN2jZWRnJwD5BZGwUf62dx6Cxndi/ewWevkX55te/GPXHXMpXeX9fkI2tDZ2/H0vcy0gWrZ4ngmLj41ewCM3qfcHt88fZvWSt2HKMxuWThxF0Olo2+ryWz3+M/AXdmTe3DQ/Cw1i+ZqbYckxOx5a9efYsmrkz9hu03Mnjt+Ho5ULjrl0NWm5WRzKwD/D4aTi/LZvBiB+6cOr4ZgoEBDJ0/nKGTJuOX6mP74cpUtqfSg3bc+7yXs5ePGcixaalTcM2+BWqxIElf3Hn0nWx5RiF62fP4pHXleKFPp1i5nOiWYuSfNO3KkfO7ufYye1iyzEpxYqUpWTRAJb+dZSY6ASDlLnjwEWuHg2jbv9O2NpmvUwHxkQysHe49eAOU+dPYMyknly5eAj/2o0Ys2wd344bj0/Bgukup23/r3Dz9GH5xt95mfjSiIozTqxW4G6yjljtu4lP0sd3XwzHwd6Fv8f8SGK8Yf6ZzQWtVsuD81epWNX4+34skUlTm1ApID/LN83nwaNbYssxKZ1b9yVRlcz08TsyXZZWq+WXCbvIUTQ3NZq1MIC6zwvJwF4R8u8lxs/6nkk/9+XunRAqtOjAuFUb6TV8BB5eXnqXZ21jQ5dRP5CgimHhqrlGUJw5ghN1zHimYUmUlhnPNAQn6r+/x9EhG/26juRl9HOWj5liBJXi8ejuDV4+j6ZBvSJiSzFL5HI5q9Z0I7uTktmLJqJSZa0HmI+Ryys/lcvUZOPas9wPi8xUWcs2nOTB1Sc0HfqFyZKIZiU+awP77x6u334fzJNnYdTq2pcJqzbR5ZtvyZ7dJVPlF/L3I7BJRy5cO8jJ86cMpDrzxGoFtsRq38qWvCVWm6GemH/hYjSu3Y2bZ4+wb/kGg+oUk8snjyK3ltOsjrSZ9EPk8HBk2fJORMVGMn/ZT2LLMSntW/ZBJpMzZfTWDJehSk5h3tT95K1clICqtQyo7vPhszSwtPZwNe43lMmrN9K6Rw8cHAyXG6B1v954eBdkZdAfxL00j2XnLzTC+9mSXx3PCG0ataVwgfLsXTSPu1fSl9TT3Ll17gKFS3nj4mzaeJSWRpWqBflhdD0uhJ5l2+6/xZZjMlyc3ahTpSkH9l7m4rmwDJUx+699vHgUQ6uhXxlY3efDZ2VgH9vD1ahtG6yt308hklkUNtZ0G/UDiUnxLFhpHqna3RRW72dLfnU8I8hlcgZ8OQJ7pRN/j/4BVUJipjWKSXKSiogrN6lWo4DYUiyCQUNr06RBcTbtXsX1mxfElmMyWjbphmM2ZyZlIMRUVOxLVvx+jKKNKlC4uPklqrQUPgsDS+8eLmORz8+Xai26cunfIxw9c9SodaUHZ7kVLZzlb0zMCmjhLMdZnjEDA3DO5sRXXUcS9+IpK8ZONYhOsbh2/gSaZDXNGkrDh+ll4eKO5M3lytxlU4mJeyG2HJOgtLGnaZ32XDh/h73bL+t17dRfd5CckEKbQVLvKzNkaQPTdw+XMWnRtyc58xRh9Za5xMbHmbTutAiwlzHMQ8GXrnKGeSgIsM/8R6FkEX8a1erKv6cOcmDlZgOoFIfQU6fJ5upA1XL5xJZiMWRzVLJmTVdSNCrmLJyA5jMJ+Fy3Zms83b2ZNm5HukNM3X8cyZbF5yjTvhbeefIbWWHWJksaWGb2cBkLhUJB99E/kpySyPy/fxdFw7s4y60oYCvLVM/rXdo1aU+hfGXZ/dcf3A+1zOXVYcGXKBf4eWRfNiTF/L35dXpzbty7zrog81t5awwUcjntmn3B3bAnrF6SvoVaE6ZsRaZQ0OrrvkZWl/XJUv+hhtrDZSzy+OanZpseXL15nEMnD4stxyjIZXIG9h6FnW02lo/6gaREywqnFfn0MVH3wqlbRwoflRG6dKtAj84V2HNsG2fPHxRbjkmoWLYmBfMW4Y/pe0lSpXz03JBr9zm84TKVv2hKdld3EynMumQJAzP0Hi5j0vTLbnjnK8babXOJjo0WW45RyJ7Nib6dvyf2eTh///iz2HL04uKJwwC0bOAvrhAD8CROwdl79jyJM+3+ol9/b0WJYrlYvPZ3nj57aNK6xaJz6z48j4xlzvR9Hz1v0oRtOLg70+yLnqYRlsWxWAMz9h4uYyGXy+k+5gfUmmTmmclQojEoXawU9ap3IvT4fg6t3SK2nHRz48w58hTxwCeXeX5+0kvQRWca/FmIXqt9aPBnIYIumi6Tso2NgjVru2NrK+P3heNJVn+8V5IVKFywFKWLVWDZwmNERaYdeWffsauE7L9F7W/aoVRK2zMMgcUZmCn3cBmLXPl9qN2+F9dvn2Lf0Y8/sVkynZp3pkDeUuyaO5uHN+6KLeeTaDQaHl0MJbC6ZU+sP4lTMGGXFzohdW5TJ1gxYZeXSXtiefK6sHBBO8KfPWLpyl9MVq+YdG79FclJaqaNez8+pFar5efxO3EtmJM6rduKoC5rYlEGtuXQNpPu4TImjbp3JHeBEmzY+RfPX2QuHI25IpfJGdRrFLbW9iwf+QPJScliS/ood0JDSIpNoJGFh496EGXzxrxeoxOseBht2v+R+g2LMWRATU5cOMKBI5a7KjW9eHnmJTCgNps3nOPenWdv/W7tlrPcDXlM48E9UCisRVKY9bAoA9u5bYHJ93AZC7lcTo+xP6DVaZm/cpbYcoyGi7MLvTsNJ/rpQ1aOM+8n8asnT2BjZ0PD6pZtYHldU5BZvR1VRWYlkMfF9EN5o3+sT41AX1ZvWcTde6Emr9/UdGjeB4XCmkmj/j9snpyiZvaUveQqV4gKteqKqC7rYVEG1nvKLFH2cBmLnHlzU69zH26GnWPXoV1iyzEa5fzLUqdKe64e2c3RjZmP4G0s7gSHUDwgN/Z2ltWbf5ecThrGNYp4Y2IyK4FxjSLI6aQxuRa5XM6KVV1wd3NgzpLJvEwUfw+kMXFyyk69qs05dOAa50/fAWDu0oM8C4ui5bA+yC30gdtcsSgDK+yf9RIL1uvUlry+ZQjavYhnkc/FlmM0urTqRr48Jdjxxywe374ntpz3iI+L4cn1u9SsJf52C0PQunQse769zZIu99nz7W1al44VTYuLqwMrV3QmNiGGuYsnodXpn/nAkmjeqBvOjtmZNHobcfGJLJ15FN96ZShWurzY0rIcFmVgWRG5XE6PMWPRITB3xa9odVkzgsHr+TBruS3Lvv+BlGTzWpl29cwxBK2OVo2zTvionE4ayvskitLzepeAivmYMr4RV25eZMuOZWLLMSq2NrY0r9eJSxfD6N9/JQnRibQZ/LXYsrIkkoGZAR65vWjU42vuPAhh58GdYssxGm7Z3ejVcSgvwu+xasIMseW8xfUzZ3D1dqa0X26xpWRZvvq2Gq2alWLL/nVcvnZabDlGpXb1Fni4e3F8Rygl21QnT35pY7wxkAzMTKjbvjX5/crzz94lRDx/IrYco1G+ZHlqVW7L5YM7OP7PbrHlvOH++StUrJpPbBlZnvkL2lEovwd//T2dF1FPxZZjNOQyGRWq1Efp4kz9rp3FlpNlkQzMjOgxZgxWMhnzlmfdoUSAbm16kDdXMbbNmkl42AOx5fD4/k3iIiKpV8dXbClZHjt7W9as7YqOFGYvmoBGqxZbktFQ2jmiehGDq4en2FKyLJKBmRFuOT1o8sV3hD26zNa9lhO9Ql8UcgUDe41GYaVg2fCxqEWeD7t4/CgyuYyW9bPeIiFzxLewJ3N+b0XYo9usXDdbbDlGI0WTuu9RqVSKrCTrIhmYmVGrTTMK+ldm24HlPIp4LLYco+HhmoOe7YcS+TiM1ZN/E1XLrbPnKVjCC3fXbKLq+Jxo3a4sfb8I5MCp3Zw8Yz5DyYYkRaPGSibD2kbauGwsJAMzQ3qMGYPC2oZ5f8/I0kOJlctUpHrFllzct41T2/aLoiElJZnwyzeoWl3Kvmxqpk5vSvky+Vi2YS6Pw80/1Ji+qNUpyKxNG0j5c0MyMDPEJYcrzXoP5EF4KEE7N4otx6j0bNeL3N5F2DJzOk/umb7HeT3kNGpVMk0bFjV53Z87CoWC1Wu64uCgYPaiiSSlJIotyaCoNSnIraXelzGRDMxMqda8EYVLVWXX4VU8eJx1U1Io5AoG9RqDTJCxbMRYNCmmndS/duok9s521KqYNTYwWxqeXs4sWdyRZ1FPWLhsmthyDIrUAzM+koGZMd1Gj8La1p65K6Zn6aFETzcPerQbzLOHt1jzk2lTzIQFX6JM5bwoFFKIH7GoWbswI4fX4eyVk+zat1ZsOQZDrdFIPTAjIxmYGZPdzYUWXw/m8dMbrN+2Tmw5RqVKuUCqlG/Ohd3/cGbXIZPUGR35lMg7j6hVS9pkKjZDR9SmXq2irN+5nJt3LoktxyBoNCnIbaQemDGRDMzMCWxYF79yNdl7dA13H4aJLceo9OrQh1w5ffln+i88exhh9PounjwMgkDrxpaffdnSkcvlLFneCe+czvy5dCpx8ZafrVytUUs9MCMjGZgF0G3k99jaZ2P+3zPQaMWPa2csFHJrBvUaAzqBpSN+MPp82L+nz+Fd0J1Ced2NWo9E+nB2tmf1qi4kJsXz56KJFh/0V6tJQS4toTcqkoFZAI4uzrT+ZhgRz26zZssqseUYlZw5ctKt9QCehP3Lhl/+NFo9Wq2WRyHXqFQtn9HqkNCfkqXzMH1qM0LvXmXjPwvElpMpNBq1ZGBGRjIwC6FCvZoUr1iPAyc2cOvebbHlGJXqFaoTWK4p53ZsJHjvEaPUEXbjConRcRaffTkr0qNXJTq1LceOw0FcuHhUbDkZRq1RI5PmwIyKZGAWRNfvh2HnkJ2/Vs5Ao8m6MeQA+nT+ipw5ChI0bRqR4YYP+nrl5DEUtgoa1/IzeNkSmWf23Db4FfZi4ZrfeB5p/PlQY6DVqFFIc2BGRTIwCyKbkyNtvxvB08h7rAxaIbYco6KQWzOw1xh0Gi1Lho9FozHs3N+dcyH4lc2No4OtQcuVMAy2ttasW9cNuVzH7wt/RG2BD2wajQa5jWVn9zZ3JAOzMMrVqkLJwAYcOh3Ev3duiC3HqOTy9KZLy/5E3All44x5Bis3MSGeJ6F3qFFTCh9lzvjkd2fen215GHGfZat/FVuO3mg1ahTSHJhRkQzMAuk8YijZnNxYsGoGarXlPZnqQ63KtahYphFnt6znwoETBinz6tnjaNUaWjTMOtmXsypNW5Tgu2+qc/TcAQ4f3yq2HL3QajWSgRkZycAsEIdsDrQf9D2R0Q9ZvnGJ2HKMzlddvsXDPR8bp/7Ei4hnmS4v9PQZnD0cCSiRxwDqJIzN+EmNCKxQkJWbF3D/wb9iy0k3qT0waQjRmEgGpgfxSToeRKmJTxJ/f0qpqpUoXa0px85u4eqNa2LLMSrWilfzYSkpLB3xY6bnw+6fv0z5qj7I5dLH3xKQy+WsWtOF7M5K/lgymUTVS7ElpQuNRo1CWoVoVKT/4HRy5XEyC47FsP58PAuOxXDlcbLYkug8dBCOLh4sWjOTpBRxk0Iamzw5c9OxRX8e37pC0MyM7w968ugeMY+eUre2lH3ZknBzd2TF8k5Exb5g/tIpFrHJWafRoLCVemDGRDKwdBCfpGNvaALCq58FYG9ogug9MaWDHR2HjCYqNpxl6xaKqsUU1K1Sh4BS9Tm9eQ2XjpzOUBkXTxzGSmZFq4ZS+ChLo3KVgoz/oQEh14PZsWel2HI+iVajwVoaQjQqGTKwuXPnkj9/fpRKJeXKlePYsWMfPf/IkSOUK1cOpVJJgQIFmD9/fobEikV0ovaNeb1GeHVcbPwrlaNcrRacvLCdS6FZIwjqx/iqy3fkcMvL+smTiX4Wqff1t86eJ59fTrxyOBlBnYSx+W5QTZo29Cdo92qu3QgWW85H0arVUg/MyOhtYOvWrWPQoEGMGTOGkJAQqlWrRqNGjXjw4EGa54eFhdG4cWOqVatGSEgIo0ePZsCAAWzatCnT4k2Fi70cq3eOWb06bg50HDKA7G7eLF73G6rkJLHlGBWljQ0DvxyLJjmJJcN/RKtN/0OEOiWFRxevU7VGfiMqlDA2Cxd3xCePK/OXTyM6Vv+HGFOhk3pgRkfvGcaZM2fSq1cvevfuDcCsWbPYs2cP8+bNY+rUqe+dP3/+fPLmzcusWbMA8PPzIzg4mBkzZtCmTZs060hOTiY5+f9zTLGxsQAkJSboK9cgKICa+eHgv4kIpJpXraL2KLQqVOJIeo+23w1h0fhhLFg5h75dvhZbjlHJ4epKy4a9WL91DhtnzKVF/y/Tdd31kDOkJKioWa0AcXFZ2+izOosWt6dp00XM+utHhn37MwqZeTxMvkat1SDodFgBqpdmcpMQkaSXqdm2BeHdsaxMIuhBcnKyIJfLhaCgoLeODxgwQKhevXqa11SrVk0YMGDAW8eCgoIEhUIhpKSkpHnNuHHjBFJH6aSX9JJe0kt6ZZHXnTt39LGcT6JXDywyMhKtVounp+dbxz09PXny5Ema1zx58iTN8zUaDZGRkXh5eb13zahRoxgyZMibn2NiYvDx8eHBgwc4OzvrI/mzIi4ujjx58vDw4UOcnKQ5ng8htVP6kNopfUjt9GliY2PJmzcvrq6uBi03Q5sUrKzenhESBOG9Y586P63jr7G1tcXW9v0Ydc7OztIHJB04OTlJ7ZQOpHZKH1I7pQ+pnT6NTGbYhe96lebu7o5cLn+vt/Xs2bP3elmvyZkzZ5rnKxQK3Nzc9JQrISEhISGRil4GZmNjQ7ly5di3b99bx/ft20dgYGCa11SuXPm98/fu3UtAQADWUqoBCQkJCYkMond/bsiQISxatIglS5Zw/fp1Bg8ezIMHD+jXrx+QOn/VvXv3N+f369eP+/fvM2TIEK5fv86SJUtYvHgxw4YNS3edtra2jBs3Ls1hRYn/I7VT+pDaKX1I7ZQ+pHb6NMZqIytB0H9d49y5c/nll1+IiIjA39+f3377jerVqwPQs2dP7t27x+HDh9+cf+TIEQYPHsy1a9fw9vbm+++/f2N4EhISEhISGSFDBiYhISEhISE2UixECQkJCQmLRDIwCQkJCQmLRDIwCQkJCQmLRDIwCQkJCQmLxGwM7HNL0ZJR9GmnoKAg6tWrR44cOXBycqJy5crs2bPHhGrFQd/P0mtOnDiBQqGgdOnSxhVoJujbTsnJyYwZMwYfHx9sbW0pWLAgS5YsMZFa8dC3nVatWkWpUqWwt7fHy8uLL774ghcvXphIrTgcPXqUZs2a4e3tjZWVFf/8888nrzHIPdygkRUzyNq1awVra2th4cKFQmhoqDBw4EDBwcFBuH//fprn3717V7C3txcGDhwohIaGCgsXLhSsra2FjRs3mli5adG3nQYOHChMmzZNOHv2rHDz5k1h1KhRgrW1tXDhwgUTKzcd+rbRa2JiYoQCBQoI9evXF0qVKmUasSKSkXZq3ry5ULFiRWHfvn1CWFiYcObMGeHEiRMmVG169G2nY8eOCTKZTPj999+Fu3fvCseOHROKFy8utGzZ0sTKTcvOnTuFMWPGCJs2bRIAYfPmzR8931D3cLMwsAoVKgj9+vV761jRokWFkSNHpnn+iBEjhKJFi7517KuvvhIqVapkNI3mgL7tlBbFihUTJkyYYGhpZkNG26hDhw7C2LFjhXHjxn0WBqZvO+3atUtwdnYWXrx4YQp5ZoO+7TR9+nShQIECbx2bPXu2kDt3bqNpNDfSY2CGuoeLPoSYkpLC+fPnqV+//lvH69evz8mTJ9O85tSpU++d36BBA4KDg1Gr1UbTKiYZaad30el0xMfHGzwitLmQ0TZaunQpd+7cYdy4ccaWaBZkpJ22bt1KQEAAv/zyC7ly5aJw4cIMGzYMlUplCsmikJF2CgwM5NGjR+zcuRNBEHj69CkbN26kSZMmppBsMRjqHp6haPSGxFQpWiydjLTTu/z6668kJCTQvn17Y0gUnYy00a1btxg5ciTHjh1DoRD938EkZKSd7t69y/Hjx1EqlWzevJnIyEi++eYboqKisuw8WEbaKTAwkFWrVtGhQweSkpLQaDQ0b96cP/74wxSSLQZD3cNF74G9xtgpWrIK+rbTa9asWcP48eNZt24dHh4expJnFqS3jbRaLZ07d2bChAkULlzYVPLMBn0+SzqdDisrK1atWkWFChVo3LgxM2fOZNmyZVm6Fwb6tVNoaCgDBgzgxx9/5Pz58+zevZuwsDApdF4aGOIeLvojp5SiJX1kpJ1es27dOnr16sWGDRuoW7euMWWKir5tFB8fT3BwMCEhIfTv3x9IvVELgoBCoWDv3r3Url3bJNpNSUY+S15eXuTKleuthLJ+fn4IgsCjR4/w9fU1qmYxyEg7TZ06lSpVqjB8+HAASpYsiYODA9WqVWPy5MlZcnQoIxjqHi56D0xK0ZI+MtJOkNrz6tmzJ6tXr87y4/D6tpGTkxNXrlzh4sWLb179+vWjSJEiXLx4kYoVK5pKuknJyGepSpUqhIeH8/LlyzfHbt68iUwmI3fu3EbVKxYZaafExMT3kjbK5XLg/z0MCQPew/Va8mEkXi9VXbx4sRAaGioMGjRIcHBwEO7duycIgiCMHDlS6Nat25vzXy/BHDx4sBAaGiosXrz4s1pGn952Wr16taBQKIQ///xTiIiIePOKiYkR6y0YHX3b6F0+l1WI+rZTfHy8kDt3bqFt27bCtWvXhCNHjgi+vr5C7969xXoLJkHfdlq6dKmgUCiEuXPnCnfu3BGOHz8uBAQECBUqVBDrLZiE+Ph4ISQkRAgJCREAYebMmUJISMib7QbGuoebhYEJgiD8+eefgo+Pj2BjYyOULVtWOHLkyJvf9ejRQ6hRo8Zb5x8+fFgoU6aMYGNjI+TLl0+YN2+eiRWLgz7tVKNGDQF479WjRw/TCzch+n6W/svnYmCCoH87Xb9+Xahbt65gZ2cn5M6dWxgyZIiQmJhoYtWmR992mj17tlCsWDHBzs5O8PLyErp06SI8evTIxKpNy6FDhz56rzHWPVxKpyIhISEhYZGIPgcmISEhISGRESQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSCQDk5CQkJCwSP4HbAmqi8XM7WsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "\n",
    "# plot Voronoi diagram, and fill finite regions with color mapped from speed value\n",
    "voronoi_plot_2d(vor, show_points=True, show_vertices=False, s=1, ax = ax)\n",
    "for r in range(len(vor.point_region)):\n",
    "    region = vor.regions[vor.point_region[r]]\n",
    "    if not -1 in region:\n",
    "        polygon = [vor.vertices[i] for i in region]\n",
    "        plt.fill(*zip(*polygon), color=mapper.to_rgba(speed[r]), alpha=0.5)\n",
    "ax.set_aspect('equal', 'box')\n",
    "plt.xlim(0, 1)\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
